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Finding the Fourth Proportional to 1,143.78, 1,706.90 and 1,020.76

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Solution

The fourth proportional to 1,143.78, 1,706.90 and 1,020.76 is: 1,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.78 : 1,706.90 = 1,020.76 : x
  2. Step 2: Convert to fraction form
    1,143.78/1,706.90 = 1,020.76/x
  3. Step 3: Cross multiply
    1,143.78x = 1,706.90 × 1,020.76
  4. Step 4: Simplify right side
    1,143.78x = 1,742,335.24
  5. Step 5: Solve for x
    x = 1,742,335.24/1,143.78
  6. Step 6: Final answer
    x = 1,523.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.