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Finding the Fourth Proportional to 1,200.13, 1,655.24 and 780.61

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Solution

The fourth proportional to 1,200.13, 1,655.24 and 780.61 is: 1,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.13 : 1,655.24 = 780.61 : x
  2. Step 2: Convert to fraction form
    1,200.13/1,655.24 = 780.61/x
  3. Step 3: Cross multiply
    1,200.13x = 1,655.24 × 780.61
  4. Step 4: Simplify right side
    1,200.13x = 1,292,096.90
  5. Step 5: Solve for x
    x = 1,292,096.90/1,200.13
  6. Step 6: Final answer
    x = 1,076.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.