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Finding the Fourth Proportional to 648.16, 972.70 and 502.25

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Solution

The fourth proportional to 648.16, 972.70 and 502.25 is: 753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 972.70 = 502.25 : x
  2. Step 2: Convert to fraction form
    648.16/972.70 = 502.25/x
  3. Step 3: Cross multiply
    648.16x = 972.70 × 502.25
  4. Step 4: Simplify right side
    648.16x = 488,532.46
  5. Step 5: Solve for x
    x = 488,532.46/648.16
  6. Step 6: Final answer
    x = 753.72

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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.