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Finding the Fourth Proportional to 1,139.80, 1,710.12 and 491.04

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Solution

The fourth proportional to 1,139.80, 1,710.12 and 491.04 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.80 : 1,710.12 = 491.04 : x
  2. Step 2: Convert to fraction form
    1,139.80/1,710.12 = 491.04/x
  3. Step 3: Cross multiply
    1,139.80x = 1,710.12 × 491.04
  4. Step 4: Simplify right side
    1,139.80x = 839,737.32
  5. Step 5: Solve for x
    x = 839,737.32/1,139.80
  6. Step 6: Final answer
    x = 736.74

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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.