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Finding the Fourth Proportional to 1,026.13, 1,416.06 and 560.38

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Solution

The fourth proportional to 1,026.13, 1,416.06 and 560.38 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.13 : 1,416.06 = 560.38 : x
  2. Step 2: Convert to fraction form
    1,026.13/1,416.06 = 560.38/x
  3. Step 3: Cross multiply
    1,026.13x = 1,416.06 × 560.38
  4. Step 4: Simplify right side
    1,026.13x = 793,531.70
  5. Step 5: Solve for x
    x = 793,531.70/1,026.13
  6. Step 6: Final answer
    x = 773.32

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Why These Related Problems?

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