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Finding the Fourth Proportional to 1,287.13, 1,930.70 and 518.17

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Solution

The fourth proportional to 1,287.13, 1,930.70 and 518.17 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.13 : 1,930.70 = 518.17 : x
  2. Step 2: Convert to fraction form
    1,287.13/1,930.70 = 518.17/x
  3. Step 3: Cross multiply
    1,287.13x = 1,930.70 × 518.17
  4. Step 4: Simplify right side
    1,287.13x = 1,000,430.82
  5. Step 5: Solve for x
    x = 1,000,430.82/1,287.13
  6. Step 6: Final answer
    x = 777.26

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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.