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Finding the Fourth Proportional to 652.92, 975.54 and 630.24

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Solution

The fourth proportional to 652.92, 975.54 and 630.24 is: 941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.92 : 975.54 = 630.24 : x
  2. Step 2: Convert to fraction form
    652.92/975.54 = 630.24/x
  3. Step 3: Cross multiply
    652.92x = 975.54 × 630.24
  4. Step 4: Simplify right side
    652.92x = 614,824.33
  5. Step 5: Solve for x
    x = 614,824.33/652.92
  6. Step 6: Final answer
    x = 941.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.