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Finding the Fourth Proportional to 917.40, 1,265.99 and 497.73

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Solution

The fourth proportional to 917.40, 1,265.99 and 497.73 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.40 : 1,265.99 = 497.73 : x
  2. Step 2: Convert to fraction form
    917.40/1,265.99 = 497.73/x
  3. Step 3: Cross multiply
    917.40x = 1,265.99 × 497.73
  4. Step 4: Simplify right side
    917.40x = 630,118.71
  5. Step 5: Solve for x
    x = 630,118.71/917.40
  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.