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Finding the Fourth Proportional to 1,382.16, 2,073.24 and 560.45

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Solution

The fourth proportional to 1,382.16, 2,073.24 and 560.45 is: 840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 2,073.24 = 560.45 : x
  2. Step 2: Convert to fraction form
    1,382.16/2,073.24 = 560.45/x
  3. Step 3: Cross multiply
    1,382.16x = 2,073.24 × 560.45
  4. Step 4: Simplify right side
    1,382.16x = 1,161,947.36
  5. Step 5: Solve for x
    x = 1,161,947.36/1,382.16
  6. Step 6: Final answer
    x = 840.68

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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.