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Finding the Fourth Proportional to 1,143.90, 1,578.48 and 671.74

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Solution

The fourth proportional to 1,143.90, 1,578.48 and 671.74 is: 926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.90 : 1,578.48 = 671.74 : x
  2. Step 2: Convert to fraction form
    1,143.90/1,578.48 = 671.74/x
  3. Step 3: Cross multiply
    1,143.90x = 1,578.48 × 671.74
  4. Step 4: Simplify right side
    1,143.90x = 1,060,328.16
  5. Step 5: Solve for x
    x = 1,060,328.16/1,143.90
  6. Step 6: Final answer
    x = 926.94

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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.