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Finding the Fourth Proportional to 1,438.76, 2,158.34 and 617.02

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Solution

The fourth proportional to 1,438.76, 2,158.34 and 617.02 is: 925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.76 : 2,158.34 = 617.02 : x
  2. Step 2: Convert to fraction form
    1,438.76/2,158.34 = 617.02/x
  3. Step 3: Cross multiply
    1,438.76x = 2,158.34 × 617.02
  4. Step 4: Simplify right side
    1,438.76x = 1,331,738.95
  5. Step 5: Solve for x
    x = 1,331,738.95/1,438.76
  6. Step 6: Final answer
    x = 925.62

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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.