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Finding the Fourth Proportional to 1,001.10, 1,381.54 and 559.00

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Solution

The fourth proportional to 1,001.10, 1,381.54 and 559.00 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.10 : 1,381.54 = 559.00 : x
  2. Step 2: Convert to fraction form
    1,001.10/1,381.54 = 559.00/x
  3. Step 3: Cross multiply
    1,001.10x = 1,381.54 × 559.00
  4. Step 4: Simplify right side
    1,001.10x = 772,282.24
  5. Step 5: Solve for x
    x = 772,282.24/1,001.10
  6. Step 6: Final answer
    x = 771.43

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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.