Home / 1,385.20-2,078.34-735.04

Finding the Fourth Proportional to 1,385.20, 2,078.34 and 735.04

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Solution

The fourth proportional to 1,385.20, 2,078.34 and 735.04 is: 1,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.20 : 2,078.34 = 735.04 : x
  2. Step 2: Convert to fraction form
    1,385.20/2,078.34 = 735.04/x
  3. Step 3: Cross multiply
    1,385.20x = 2,078.34 × 735.04
  4. Step 4: Simplify right side
    1,385.20x = 1,527,663.03
  5. Step 5: Solve for x
    x = 1,527,663.03/1,385.20
  6. Step 6: Final answer
    x = 1,102.85

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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.