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Finding the Fourth Proportional to 674.48, 930.51 and 497.86

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Solution

The fourth proportional to 674.48, 930.51 and 497.86 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.48 : 930.51 = 497.86 : x
  2. Step 2: Convert to fraction form
    674.48/930.51 = 497.86/x
  3. Step 3: Cross multiply
    674.48x = 930.51 × 497.86
  4. Step 4: Simplify right side
    674.48x = 463,263.71
  5. Step 5: Solve for x
    x = 463,263.71/674.48
  6. Step 6: Final answer
    x = 686.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.