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Finding the Fourth Proportional to 1,008.39, 1,512.60 and 278.01

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Solution

The fourth proportional to 1,008.39, 1,512.60 and 278.01 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.39 : 1,512.60 = 278.01 : x
  2. Step 2: Convert to fraction form
    1,008.39/1,512.60 = 278.01/x
  3. Step 3: Cross multiply
    1,008.39x = 1,512.60 × 278.01
  4. Step 4: Simplify right side
    1,008.39x = 420,517.93
  5. Step 5: Solve for x
    x = 420,517.93/1,008.39
  6. Step 6: Final answer
    x = 417.02

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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.