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Finding the Fourth Proportional to 1,160.62, 1,747.83 and 1,046.40

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Solution

The fourth proportional to 1,160.62, 1,747.83 and 1,046.40 is: 1,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.62 : 1,747.83 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    1,160.62/1,747.83 = 1,046.40/x
  3. Step 3: Cross multiply
    1,160.62x = 1,747.83 × 1,046.40
  4. Step 4: Simplify right side
    1,160.62x = 1,828,929.31
  5. Step 5: Solve for x
    x = 1,828,929.31/1,160.62
  6. Step 6: Final answer
    x = 1,575.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.