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Finding the Fourth Proportional to 917.30, 1,265.87 and 524.33

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Solution

The fourth proportional to 917.30, 1,265.87 and 524.33 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.30 : 1,265.87 = 524.33 : x
  2. Step 2: Convert to fraction form
    917.30/1,265.87 = 524.33/x
  3. Step 3: Cross multiply
    917.30x = 1,265.87 × 524.33
  4. Step 4: Simplify right side
    917.30x = 663,731.87
  5. Step 5: Solve for x
    x = 663,731.87/917.30
  6. Step 6: Final answer
    x = 723.57

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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.