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Finding the Fourth Proportional to 1,382.16, 2,073.81 and 560.23

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Solution

The fourth proportional to 1,382.16, 2,073.81 and 560.23 is: 840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 2,073.81 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,382.16/2,073.81 = 560.23/x
  3. Step 3: Cross multiply
    1,382.16x = 2,073.81 × 560.23
  4. Step 4: Simplify right side
    1,382.16x = 1,161,800.21
  5. Step 5: Solve for x
    x = 1,161,800.21/1,382.16
  6. Step 6: Final answer
    x = 840.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.