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Finding the Fourth Proportional to 975.04, 1,462.25 and 487.82

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Solution

The fourth proportional to 975.04, 1,462.25 and 487.82 is: 731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,462.25 = 487.82 : x
  2. Step 2: Convert to fraction form
    975.04/1,462.25 = 487.82/x
  3. Step 3: Cross multiply
    975.04x = 1,462.25 × 487.82
  4. Step 4: Simplify right side
    975.04x = 713,319.67
  5. Step 5: Solve for x
    x = 713,319.67/975.04
  6. Step 6: Final answer
    x = 731.58

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Double scale
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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.