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Finding the Fourth Proportional to 917.37, 1,265.85 and 524.42

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Solution

The fourth proportional to 917.37, 1,265.85 and 524.42 is: 723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.37 : 1,265.85 = 524.42 : x
  2. Step 2: Convert to fraction form
    917.37/1,265.85 = 524.42/x
  3. Step 3: Cross multiply
    917.37x = 1,265.85 × 524.42
  4. Step 4: Simplify right side
    917.37x = 663,830.73
  5. Step 5: Solve for x
    x = 663,830.73/917.37
  6. Step 6: Final answer
    x = 723.62

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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.