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Finding the Fourth Proportional to 1,286.24, 1,930.71 and 709.52

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Solution

The fourth proportional to 1,286.24, 1,930.71 and 709.52 is: 1,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.24 : 1,930.71 = 709.52 : x
  2. Step 2: Convert to fraction form
    1,286.24/1,930.71 = 709.52/x
  3. Step 3: Cross multiply
    1,286.24x = 1,930.71 × 709.52
  4. Step 4: Simplify right side
    1,286.24x = 1,369,877.36
  5. Step 5: Solve for x
    x = 1,369,877.36/1,286.24
  6. Step 6: Final answer
    x = 1,065.02

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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.