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Finding the Fourth Proportional to 916.10, 1,264.24 and 542.94

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Solution

The fourth proportional to 916.10, 1,264.24 and 542.94 is: 749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.10 : 1,264.24 = 542.94 : x
  2. Step 2: Convert to fraction form
    916.10/1,264.24 = 542.94/x
  3. Step 3: Cross multiply
    916.10x = 1,264.24 × 542.94
  4. Step 4: Simplify right side
    916.10x = 686,406.47
  5. Step 5: Solve for x
    x = 686,406.47/916.10
  6. Step 6: Final answer
    x = 749.27

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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.