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Finding the Fourth Proportional to 1,139.04, 1,706.39 and 591.80

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Solution

The fourth proportional to 1,139.04, 1,706.39 and 591.80 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.04 : 1,706.39 = 591.80 : x
  2. Step 2: Convert to fraction form
    1,139.04/1,706.39 = 591.80/x
  3. Step 3: Cross multiply
    1,139.04x = 1,706.39 × 591.80
  4. Step 4: Simplify right side
    1,139.04x = 1,009,830.11
  5. Step 5: Solve for x
    x = 1,009,830.11/1,139.04
  6. Step 6: Final answer
    x = 886.56

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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.