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Finding the Fourth Proportional to 1,143.10, 1,578.35 and 1,004.86

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Solution

The fourth proportional to 1,143.10, 1,578.35 and 1,004.86 is: 1,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.10 : 1,578.35 = 1,004.86 : x
  2. Step 2: Convert to fraction form
    1,143.10/1,578.35 = 1,004.86/x
  3. Step 3: Cross multiply
    1,143.10x = 1,578.35 × 1,004.86
  4. Step 4: Simplify right side
    1,143.10x = 1,586,020.78
  5. Step 5: Solve for x
    x = 1,586,020.78/1,143.10
  6. Step 6: Final answer
    x = 1,387.47

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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.