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Finding the Fourth Proportional to 1,143.80, 1,578.62 and 864.35

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Solution

The fourth proportional to 1,143.80, 1,578.62 and 864.35 is: 1,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.80 : 1,578.62 = 864.35 : x
  2. Step 2: Convert to fraction form
    1,143.80/1,578.62 = 864.35/x
  3. Step 3: Cross multiply
    1,143.80x = 1,578.62 × 864.35
  4. Step 4: Simplify right side
    1,143.80x = 1,364,480.20
  5. Step 5: Solve for x
    x = 1,364,480.20/1,143.80
  6. Step 6: Final answer
    x = 1,192.94

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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.