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Finding the Fourth Proportional to 1,125.01, 1,551.04 and 731.89

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Solution

The fourth proportional to 1,125.01, 1,551.04 and 731.89 is: 1,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.01 : 1,551.04 = 731.89 : x
  2. Step 2: Convert to fraction form
    1,125.01/1,551.04 = 731.89/x
  3. Step 3: Cross multiply
    1,125.01x = 1,551.04 × 731.89
  4. Step 4: Simplify right side
    1,125.01x = 1,135,190.67
  5. Step 5: Solve for x
    x = 1,135,190.67/1,125.01
  6. Step 6: Final answer
    x = 1,009.05

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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.