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Finding the Fourth Proportional to 916.09, 1,264.15 and 523.10

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Solution

The fourth proportional to 916.09, 1,264.15 and 523.10 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.09 : 1,264.15 = 523.10 : x
  2. Step 2: Convert to fraction form
    916.09/1,264.15 = 523.10/x
  3. Step 3: Cross multiply
    916.09x = 1,264.15 × 523.10
  4. Step 4: Simplify right side
    916.09x = 661,276.87
  5. Step 5: Solve for x
    x = 661,276.87/916.09
  6. Step 6: Final answer
    x = 721.85

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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.