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Finding the Fourth Proportional to 1,287.83, 1,932.39 and 595.01

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Solution

The fourth proportional to 1,287.83, 1,932.39 and 595.01 is: 892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.83 : 1,932.39 = 595.01 : x
  2. Step 2: Convert to fraction form
    1,287.83/1,932.39 = 595.01/x
  3. Step 3: Cross multiply
    1,287.83x = 1,932.39 × 595.01
  4. Step 4: Simplify right side
    1,287.83x = 1,149,796.20
  5. Step 5: Solve for x
    x = 1,149,796.20/1,287.83
  6. Step 6: Final answer
    x = 892.82

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