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Finding the Fourth Proportional to 1,046.54, 1,567.86 and 749.43

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Solution

The fourth proportional to 1,046.54, 1,567.86 and 749.43 is: 1,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.54 : 1,567.86 = 749.43 : x
  2. Step 2: Convert to fraction form
    1,046.54/1,567.86 = 749.43/x
  3. Step 3: Cross multiply
    1,046.54x = 1,567.86 × 749.43
  4. Step 4: Simplify right side
    1,046.54x = 1,175,001.32
  5. Step 5: Solve for x
    x = 1,175,001.32/1,046.54
  6. Step 6: Final answer
    x = 1,122.75

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