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Finding the Fourth Proportional to 998.02, 1,377.49 and 648.10

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Solution

The fourth proportional to 998.02, 1,377.49 and 648.10 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.02 : 1,377.49 = 648.10 : x
  2. Step 2: Convert to fraction form
    998.02/1,377.49 = 648.10/x
  3. Step 3: Cross multiply
    998.02x = 1,377.49 × 648.10
  4. Step 4: Simplify right side
    998.02x = 892,744.38
  5. Step 5: Solve for x
    x = 892,744.38/998.02
  6. Step 6: Final answer
    x = 894.52

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Double 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.