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Finding the Fourth Proportional to 761.04, 1,139.40 and 517.20

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Solution

The fourth proportional to 761.04, 1,139.40 and 517.20 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,139.40 = 517.20 : x
  2. Step 2: Convert to fraction form
    761.04/1,139.40 = 517.20/x
  3. Step 3: Cross multiply
    761.04x = 1,139.40 × 517.20
  4. Step 4: Simplify right side
    761.04x = 589,297.68
  5. Step 5: Solve for x
    x = 589,297.68/761.04
  6. Step 6: Final answer
    x = 774.33

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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.