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Finding the Fourth Proportional to 1,151.91, 1,590.17 and 857.61

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Solution

The fourth proportional to 1,151.91, 1,590.17 and 857.61 is: 1,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.91 : 1,590.17 = 857.61 : x
  2. Step 2: Convert to fraction form
    1,151.91/1,590.17 = 857.61/x
  3. Step 3: Cross multiply
    1,151.91x = 1,590.17 × 857.61
  4. Step 4: Simplify right side
    1,151.91x = 1,363,741.41
  5. Step 5: Solve for x
    x = 1,363,741.41/1,151.91
  6. Step 6: Final answer
    x = 1,183.90

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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.