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Finding the Fourth Proportional to 917.27, 1,265.81 and 524.26

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Solution

The fourth proportional to 917.27, 1,265.81 and 524.26 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.27 : 1,265.81 = 524.26 : x
  2. Step 2: Convert to fraction form
    917.27/1,265.81 = 524.26/x
  3. Step 3: Cross multiply
    917.27x = 1,265.81 × 524.26
  4. Step 4: Simplify right side
    917.27x = 663,613.55
  5. Step 5: Solve for x
    x = 663,613.55/917.27
  6. Step 6: Final answer
    x = 723.47

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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.