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Finding the Fourth Proportional to 1,141.47, 1,575.12 and 749.01

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Solution

The fourth proportional to 1,141.47, 1,575.12 and 749.01 is: 1,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.47 : 1,575.12 = 749.01 : x
  2. Step 2: Convert to fraction form
    1,141.47/1,575.12 = 749.01/x
  3. Step 3: Cross multiply
    1,141.47x = 1,575.12 × 749.01
  4. Step 4: Simplify right side
    1,141.47x = 1,179,780.63
  5. Step 5: Solve for x
    x = 1,179,780.63/1,141.47
  6. Step 6: Final answer
    x = 1,033.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.