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Finding the Fourth Proportional to 1,001.10, 1,381.56 and 559

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Solution

The fourth proportional to 1,001.10, 1,381.56 and 559 is: 771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.10 : 1,381.56 = 559 : x
  2. Step 2: Convert to fraction form
    1,001.10/1,381.56 = 559/x
  3. Step 3: Cross multiply
    1,001.10x = 1,381.56 × 559
  4. Step 4: Simplify right side
    1,001.10x = 772,292.04
  5. Step 5: Solve for x
    x = 772,292.04/1,001.10
  6. Step 6: Final answer
    x = 771.44

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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.