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Finding the Fourth Proportional to 1,488.25, 2,231.55 and 611.37

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Solution

The fourth proportional to 1,488.25, 2,231.55 and 611.37 is: 916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.25 : 2,231.55 = 611.37 : x
  2. Step 2: Convert to fraction form
    1,488.25/2,231.55 = 611.37/x
  3. Step 3: Cross multiply
    1,488.25x = 2,231.55 × 611.37
  4. Step 4: Simplify right side
    1,488.25x = 1,364,302.72
  5. Step 5: Solve for x
    x = 1,364,302.72/1,488.25
  6. Step 6: Final answer
    x = 916.72

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