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Finding the Fourth Proportional to 882.01, 1,321.12 and 572.86

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Solution

The fourth proportional to 882.01, 1,321.12 and 572.86 is: 858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.01 : 1,321.12 = 572.86 : x
  2. Step 2: Convert to fraction form
    882.01/1,321.12 = 572.86/x
  3. Step 3: Cross multiply
    882.01x = 1,321.12 × 572.86
  4. Step 4: Simplify right side
    882.01x = 756,816.80
  5. Step 5: Solve for x
    x = 756,816.80/882.01
  6. Step 6: Final answer
    x = 858.06

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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.