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Finding the Fourth Proportional to 916.76, 1,265.07 and 523.78

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Solution

The fourth proportional to 916.76, 1,265.07 and 523.78 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,265.07 = 523.78 : x
  2. Step 2: Convert to fraction form
    916.76/1,265.07 = 523.78/x
  3. Step 3: Cross multiply
    916.76x = 1,265.07 × 523.78
  4. Step 4: Simplify right side
    916.76x = 662,617.17
  5. Step 5: Solve for x
    x = 662,617.17/916.76
  6. Step 6: Final answer
    x = 722.78

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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.