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Finding the Fourth Proportional to 882.74, 1,321.40 and 557.12

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Solution

The fourth proportional to 882.74, 1,321.40 and 557.12 is: 833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,321.40 = 557.12 : x
  2. Step 2: Convert to fraction form
    882.74/1,321.40 = 557.12/x
  3. Step 3: Cross multiply
    882.74x = 1,321.40 × 557.12
  4. Step 4: Simplify right side
    882.74x = 736,178.37
  5. Step 5: Solve for x
    x = 736,178.37/882.74
  6. Step 6: Final answer
    x = 833.97

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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.