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Finding the Fourth Proportional to 1,143.24, 1,578.06 and 848.76

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Solution

The fourth proportional to 1,143.24, 1,578.06 and 848.76 is: 1,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.24 : 1,578.06 = 848.76 : x
  2. Step 2: Convert to fraction form
    1,143.24/1,578.06 = 848.76/x
  3. Step 3: Cross multiply
    1,143.24x = 1,578.06 × 848.76
  4. Step 4: Simplify right side
    1,143.24x = 1,339,394.21
  5. Step 5: Solve for x
    x = 1,339,394.21/1,143.24
  6. Step 6: Final answer
    x = 1,171.58

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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.