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Finding the Fourth Proportional to 975.17, 1,462.82 and 325.82

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Solution

The fourth proportional to 975.17, 1,462.82 and 325.82 is: 488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.17 : 1,462.82 = 325.82 : x
  2. Step 2: Convert to fraction form
    975.17/1,462.82 = 325.82/x
  3. Step 3: Cross multiply
    975.17x = 1,462.82 × 325.82
  4. Step 4: Simplify right side
    975.17x = 476,607.07
  5. Step 5: Solve for x
    x = 476,607.07/975.17
  6. Step 6: Final answer
    x = 488.75

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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.