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Finding the Fourth Proportional to 916.27, 1,264.23 and 557.36

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Solution

The fourth proportional to 916.27, 1,264.23 and 557.36 is: 769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.27 : 1,264.23 = 557.36 : x
  2. Step 2: Convert to fraction form
    916.27/1,264.23 = 557.36/x
  3. Step 3: Cross multiply
    916.27x = 1,264.23 × 557.36
  4. Step 4: Simplify right side
    916.27x = 704,631.23
  5. Step 5: Solve for x
    x = 704,631.23/916.27
  6. Step 6: Final answer
    x = 769.02

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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.