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Finding the Fourth Proportional to 1,340.96, 2,009.88 and 560.52

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Solution

The fourth proportional to 1,340.96, 2,009.88 and 560.52 is: 840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.96 : 2,009.88 = 560.52 : x
  2. Step 2: Convert to fraction form
    1,340.96/2,009.88 = 560.52/x
  3. Step 3: Cross multiply
    1,340.96x = 2,009.88 × 560.52
  4. Step 4: Simplify right side
    1,340.96x = 1,126,577.94
  5. Step 5: Solve for x
    x = 1,126,577.94/1,340.96
  6. Step 6: Final answer
    x = 840.13

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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.