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Finding the Fourth Proportional to 1,289.79, 1,932.10 and 595.47

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Solution

The fourth proportional to 1,289.79, 1,932.10 and 595.47 is: 892.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.79 : 1,932.10 = 595.47 : x
  2. Step 2: Convert to fraction form
    1,289.79/1,932.10 = 595.47/x
  3. Step 3: Cross multiply
    1,289.79x = 1,932.10 × 595.47
  4. Step 4: Simplify right side
    1,289.79x = 1,150,504.61
  5. Step 5: Solve for x
    x = 1,150,504.61/1,289.79
  6. Step 6: Final answer
    x = 892.01

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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.