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Finding the Fourth Proportional to 917.36, 1,265.82 and 524.38

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Solution

The fourth proportional to 917.36, 1,265.82 and 524.38 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,265.82 = 524.38 : x
  2. Step 2: Convert to fraction form
    917.36/1,265.82 = 524.38/x
  3. Step 3: Cross multiply
    917.36x = 1,265.82 × 524.38
  4. Step 4: Simplify right side
    917.36x = 663,770.69
  5. Step 5: Solve for x
    x = 663,770.69/917.36
  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.