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Finding the Fourth Proportional to 672.28, 1,010.42 and 557.48

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Solution

The fourth proportional to 672.28, 1,010.42 and 557.48 is: 837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.28 : 1,010.42 = 557.48 : x
  2. Step 2: Convert to fraction form
    672.28/1,010.42 = 557.48/x
  3. Step 3: Cross multiply
    672.28x = 1,010.42 × 557.48
  4. Step 4: Simplify right side
    672.28x = 563,288.94
  5. Step 5: Solve for x
    x = 563,288.94/672.28
  6. Step 6: Final answer
    x = 837.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.