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Finding the Fourth Proportional to 1,008.04, 1,512.54 and 487.78

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Solution

The fourth proportional to 1,008.04, 1,512.54 and 487.78 is: 731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.04 : 1,512.54 = 487.78 : x
  2. Step 2: Convert to fraction form
    1,008.04/1,512.54 = 487.78/x
  3. Step 3: Cross multiply
    1,008.04x = 1,512.54 × 487.78
  4. Step 4: Simplify right side
    1,008.04x = 737,786.76
  5. Step 5: Solve for x
    x = 737,786.76/1,008.04
  6. Step 6: Final answer
    x = 731.90

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1.5x scale

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.