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Finding the Fourth Proportional to 1,380.96, 2,071.80 and 515.34

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Solution

The fourth proportional to 1,380.96, 2,071.80 and 515.34 is: 773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.96 : 2,071.80 = 515.34 : x
  2. Step 2: Convert to fraction form
    1,380.96/2,071.80 = 515.34/x
  3. Step 3: Cross multiply
    1,380.96x = 2,071.80 × 515.34
  4. Step 4: Simplify right side
    1,380.96x = 1,067,681.41
  5. Step 5: Solve for x
    x = 1,067,681.41/1,380.96
  6. Step 6: Final answer
    x = 773.14

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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.