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Finding the Fourth Proportional to 1,026.57, 1,416.68 and 560.82

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Solution

The fourth proportional to 1,026.57, 1,416.68 and 560.82 is: 773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.57 : 1,416.68 = 560.82 : x
  2. Step 2: Convert to fraction form
    1,026.57/1,416.68 = 560.82/x
  3. Step 3: Cross multiply
    1,026.57x = 1,416.68 × 560.82
  4. Step 4: Simplify right side
    1,026.57x = 794,502.48
  5. Step 5: Solve for x
    x = 794,502.48/1,026.57
  6. Step 6: Final answer
    x = 773.94

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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.