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Finding the Fourth Proportional to 1,438.50, 2,158.78 and 514.06

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Solution

The fourth proportional to 1,438.50, 2,158.78 and 514.06 is: 771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.50 : 2,158.78 = 514.06 : x
  2. Step 2: Convert to fraction form
    1,438.50/2,158.78 = 514.06/x
  3. Step 3: Cross multiply
    1,438.50x = 2,158.78 × 514.06
  4. Step 4: Simplify right side
    1,438.50x = 1,109,742.45
  5. Step 5: Solve for x
    x = 1,109,742.45/1,438.50
  6. Step 6: Final answer
    x = 771.46

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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.