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Finding the Fourth Proportional to 975.03, 1,462.09 and 325.31

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Solution

The fourth proportional to 975.03, 1,462.09 and 325.31 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,462.09 = 325.31 : x
  2. Step 2: Convert to fraction form
    975.03/1,462.09 = 325.31/x
  3. Step 3: Cross multiply
    975.03x = 1,462.09 × 325.31
  4. Step 4: Simplify right side
    975.03x = 475,632.50
  5. Step 5: Solve for x
    x = 475,632.50/975.03
  6. Step 6: Final answer
    x = 487.81

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.