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Finding the Fourth Proportional to 1,124.83, 1,687.87 and 577.02

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Solution

The fourth proportional to 1,124.83, 1,687.87 and 577.02 is: 865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.83 : 1,687.87 = 577.02 : x
  2. Step 2: Convert to fraction form
    1,124.83/1,687.87 = 577.02/x
  3. Step 3: Cross multiply
    1,124.83x = 1,687.87 × 577.02
  4. Step 4: Simplify right side
    1,124.83x = 973,934.75
  5. Step 5: Solve for x
    x = 973,934.75/1,124.83
  6. Step 6: Final answer
    x = 865.85

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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.