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Finding the Fourth Proportional to 1,438.97, 2,158.45 and 514.35

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Solution

The fourth proportional to 1,438.97, 2,158.45 and 514.35 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.97 : 2,158.45 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,438.97/2,158.45 = 514.35/x
  3. Step 3: Cross multiply
    1,438.97x = 2,158.45 × 514.35
  4. Step 4: Simplify right side
    1,438.97x = 1,110,197.47
  5. Step 5: Solve for x
    x = 1,110,197.47/1,438.97
  6. Step 6: Final answer
    x = 771.53

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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.