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Finding the Fourth Proportional to 1,173.31, 1,759.04 and 588.01

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Solution

The fourth proportional to 1,173.31, 1,759.04 and 588.01 is: 881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.31 : 1,759.04 = 588.01 : x
  2. Step 2: Convert to fraction form
    1,173.31/1,759.04 = 588.01/x
  3. Step 3: Cross multiply
    1,173.31x = 1,759.04 × 588.01
  4. Step 4: Simplify right side
    1,173.31x = 1,034,321.38
  5. Step 5: Solve for x
    x = 1,034,321.38/1,173.31
  6. Step 6: Final answer
    x = 881.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.