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Finding the Fourth Proportional to 1,488.87, 2,231.28 and 514.08

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Solution

The fourth proportional to 1,488.87, 2,231.28 and 514.08 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.87 : 2,231.28 = 514.08 : x
  2. Step 2: Convert to fraction form
    1,488.87/2,231.28 = 514.08/x
  3. Step 3: Cross multiply
    1,488.87x = 2,231.28 × 514.08
  4. Step 4: Simplify right side
    1,488.87x = 1,147,056.42
  5. Step 5: Solve for x
    x = 1,147,056.42/1,488.87
  6. Step 6: Final answer
    x = 770.42

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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.