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Finding the Fourth Proportional to 1,001.17, 1,381.62 and 559.09

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Solution

The fourth proportional to 1,001.17, 1,381.62 and 559.09 is: 771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.17 : 1,381.62 = 559.09 : x
  2. Step 2: Convert to fraction form
    1,001.17/1,381.62 = 559.09/x
  3. Step 3: Cross multiply
    1,001.17x = 1,381.62 × 559.09
  4. Step 4: Simplify right side
    1,001.17x = 772,452.70
  5. Step 5: Solve for x
    x = 772,452.70/1,001.17
  6. Step 6: Final answer
    x = 771.55

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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.