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Finding the Fourth Proportional to 916.23, 1,264.26 and 523.17

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Solution

The fourth proportional to 916.23, 1,264.26 and 523.17 is: 721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.23 : 1,264.26 = 523.17 : x
  2. Step 2: Convert to fraction form
    916.23/1,264.26 = 523.17/x
  3. Step 3: Cross multiply
    916.23x = 1,264.26 × 523.17
  4. Step 4: Simplify right side
    916.23x = 661,422.90
  5. Step 5: Solve for x
    x = 661,422.90/916.23
  6. Step 6: Final answer
    x = 721.90

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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.