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Finding the Fourth Proportional to 916.84, 1,265.24 and 523.88

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Solution

The fourth proportional to 916.84, 1,265.24 and 523.88 is: 722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.84 : 1,265.24 = 523.88 : x
  2. Step 2: Convert to fraction form
    916.84/1,265.24 = 523.88/x
  3. Step 3: Cross multiply
    916.84x = 1,265.24 × 523.88
  4. Step 4: Simplify right side
    916.84x = 662,833.93
  5. Step 5: Solve for x
    x = 662,833.93/916.84
  6. Step 6: Final answer
    x = 722.95

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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.