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Finding the Fourth Proportional to 648.71, 976.71 and 572.16

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Solution

The fourth proportional to 648.71, 976.71 and 572.16 is: 861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 976.71 = 572.16 : x
  2. Step 2: Convert to fraction form
    648.71/976.71 = 572.16/x
  3. Step 3: Cross multiply
    648.71x = 976.71 × 572.16
  4. Step 4: Simplify right side
    648.71x = 558,834.39
  5. Step 5: Solve for x
    x = 558,834.39/648.71
  6. Step 6: Final answer
    x = 861.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.