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Finding the Fourth Proportional to 1,385.38, 2,078.75 and 654.76

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Solution

The fourth proportional to 1,385.38, 2,078.75 and 654.76 is: 982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.38 : 2,078.75 = 654.76 : x
  2. Step 2: Convert to fraction form
    1,385.38/2,078.75 = 654.76/x
  3. Step 3: Cross multiply
    1,385.38x = 2,078.75 × 654.76
  4. Step 4: Simplify right side
    1,385.38x = 1,361,082.35
  5. Step 5: Solve for x
    x = 1,361,082.35/1,385.38
  6. Step 6: Final answer
    x = 982.46

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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.