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Finding the Fourth Proportional to 1,008.12, 1,391.66 and 676.76

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Solution

The fourth proportional to 1,008.12, 1,391.66 and 676.76 is: 934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.12 : 1,391.66 = 676.76 : x
  2. Step 2: Convert to fraction form
    1,008.12/1,391.66 = 676.76/x
  3. Step 3: Cross multiply
    1,008.12x = 1,391.66 × 676.76
  4. Step 4: Simplify right side
    1,008.12x = 941,819.82
  5. Step 5: Solve for x
    x = 941,819.82/1,008.12
  6. Step 6: Final answer
    x = 934.23

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.