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Finding the Fourth Proportional to 1,008.77, 1,512.98 and 278.18

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Solution

The fourth proportional to 1,008.77, 1,512.98 and 278.18 is: 417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.77 : 1,512.98 = 278.18 : x
  2. Step 2: Convert to fraction form
    1,008.77/1,512.98 = 278.18/x
  3. Step 3: Cross multiply
    1,008.77x = 1,512.98 × 278.18
  4. Step 4: Simplify right side
    1,008.77x = 420,880.78
  5. Step 5: Solve for x
    x = 420,880.78/1,008.77
  6. Step 6: Final answer
    x = 417.22

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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.