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Finding the Fourth Proportional to 1,487.90, 2,231.22 and 514.10

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Solution

The fourth proportional to 1,487.90, 2,231.22 and 514.10 is: 770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.90 : 2,231.22 = 514.10 : x
  2. Step 2: Convert to fraction form
    1,487.90/2,231.22 = 514.10/x
  3. Step 3: Cross multiply
    1,487.90x = 2,231.22 × 514.10
  4. Step 4: Simplify right side
    1,487.90x = 1,147,070.20
  5. Step 5: Solve for x
    x = 1,147,070.20/1,487.90
  6. Step 6: Final answer
    x = 770.93

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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.