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Finding the Fourth Proportional to 1,134.19, 1,701.33 and 517.87

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Solution

The fourth proportional to 1,134.19, 1,701.33 and 517.87 is: 776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.19 : 1,701.33 = 517.87 : x
  2. Step 2: Convert to fraction form
    1,134.19/1,701.33 = 517.87/x
  3. Step 3: Cross multiply
    1,134.19x = 1,701.33 × 517.87
  4. Step 4: Simplify right side
    1,134.19x = 881,067.77
  5. Step 5: Solve for x
    x = 881,067.77/1,134.19
  6. Step 6: Final answer
    x = 776.83

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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.