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Finding the Fourth Proportional to 1,438.88, 2,157.79 and 514.19

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Solution

The fourth proportional to 1,438.88, 2,157.79 and 514.19 is: 771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.88 : 2,157.79 = 514.19 : x
  2. Step 2: Convert to fraction form
    1,438.88/2,157.79 = 514.19/x
  3. Step 3: Cross multiply
    1,438.88x = 2,157.79 × 514.19
  4. Step 4: Simplify right side
    1,438.88x = 1,109,501.97
  5. Step 5: Solve for x
    x = 1,109,501.97/1,438.88
  6. Step 6: Final answer
    x = 771.09

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1.5x scale

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.