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Finding the Fourth Proportional to 917.25, 1,265.82 and 524.49

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Solution

The fourth proportional to 917.25, 1,265.82 and 524.49 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.25 : 1,265.82 = 524.49 : x
  2. Step 2: Convert to fraction form
    917.25/1,265.82 = 524.49/x
  3. Step 3: Cross multiply
    917.25x = 1,265.82 × 524.49
  4. Step 4: Simplify right side
    917.25x = 663,909.93
  5. Step 5: Solve for x
    x = 663,909.93/917.25
  6. Step 6: Final answer
    x = 723.80

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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.