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Finding the Fourth Proportional to 1,143.87, 1,578.62 and 701.76

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Solution

The fourth proportional to 1,143.87, 1,578.62 and 701.76 is: 968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.87 : 1,578.62 = 701.76 : x
  2. Step 2: Convert to fraction form
    1,143.87/1,578.62 = 701.76/x
  3. Step 3: Cross multiply
    1,143.87x = 1,578.62 × 701.76
  4. Step 4: Simplify right side
    1,143.87x = 1,107,808.86
  5. Step 5: Solve for x
    x = 1,107,808.86/1,143.87
  6. Step 6: Final answer
    x = 968.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.