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Finding the Fourth Proportional to 1,001.39, 1,381.93 and 559.33

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Solution

The fourth proportional to 1,001.39, 1,381.93 and 559.33 is: 771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.39 : 1,381.93 = 559.33 : x
  2. Step 2: Convert to fraction form
    1,001.39/1,381.93 = 559.33/x
  3. Step 3: Cross multiply
    1,001.39x = 1,381.93 × 559.33
  4. Step 4: Simplify right side
    1,001.39x = 772,950.05
  5. Step 5: Solve for x
    x = 772,950.05/1,001.39
  6. Step 6: Final answer
    x = 771.88

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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.