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Finding the Fourth Proportional to 657.92, 985.37 and 463.12

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Solution

The fourth proportional to 657.92, 985.37 and 463.12 is: 693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 985.37 = 463.12 : x
  2. Step 2: Convert to fraction form
    657.92/985.37 = 463.12/x
  3. Step 3: Cross multiply
    657.92x = 985.37 × 463.12
  4. Step 4: Simplify right side
    657.92x = 456,339.78
  5. Step 5: Solve for x
    x = 456,339.78/657.92
  6. Step 6: Final answer
    x = 693.61

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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.