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Finding the Fourth Proportional to 1,488.52, 2,232.98 and 564.42

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Solution

The fourth proportional to 1,488.52, 2,232.98 and 564.42 is: 846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.52 : 2,232.98 = 564.42 : x
  2. Step 2: Convert to fraction form
    1,488.52/2,232.98 = 564.42/x
  3. Step 3: Cross multiply
    1,488.52x = 2,232.98 × 564.42
  4. Step 4: Simplify right side
    1,488.52x = 1,260,338.57
  5. Step 5: Solve for x
    x = 1,260,338.57/1,488.52
  6. Step 6: Final answer
    x = 846.71

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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.