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Finding the Fourth Proportional to 1,140.20, 1,710.40 and 515.89

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Solution

The fourth proportional to 1,140.20, 1,710.40 and 515.89 is: 773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.20 : 1,710.40 = 515.89 : x
  2. Step 2: Convert to fraction form
    1,140.20/1,710.40 = 515.89/x
  3. Step 3: Cross multiply
    1,140.20x = 1,710.40 × 515.89
  4. Step 4: Simplify right side
    1,140.20x = 882,378.26
  5. Step 5: Solve for x
    x = 882,378.26/1,140.20
  6. Step 6: Final answer
    x = 773.88

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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.