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Finding the Fourth Proportional to 1,488.56, 2,232.72 and 462.56

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Solution

The fourth proportional to 1,488.56, 2,232.72 and 462.56 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.56 : 2,232.72 = 462.56 : x
  2. Step 2: Convert to fraction form
    1,488.56/2,232.72 = 462.56/x
  3. Step 3: Cross multiply
    1,488.56x = 2,232.72 × 462.56
  4. Step 4: Simplify right side
    1,488.56x = 1,032,766.96
  5. Step 5: Solve for x
    x = 1,032,766.96/1,488.56
  6. Step 6: Final answer
    x = 693.80

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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.