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Finding the Fourth Proportional to 1,283.28, 1,924.11 and 706.56

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Solution

The fourth proportional to 1,283.28, 1,924.11 and 706.56 is: 1,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.28 : 1,924.11 = 706.56 : x
  2. Step 2: Convert to fraction form
    1,283.28/1,924.11 = 706.56/x
  3. Step 3: Cross multiply
    1,283.28x = 1,924.11 × 706.56
  4. Step 4: Simplify right side
    1,283.28x = 1,359,499.16
  5. Step 5: Solve for x
    x = 1,359,499.16/1,283.28
  6. Step 6: Final answer
    x = 1,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.