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Finding the Fourth Proportional to 998.47, 1,377.48 and 703.93

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Solution

The fourth proportional to 998.47, 1,377.48 and 703.93 is: 971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.47 : 1,377.48 = 703.93 : x
  2. Step 2: Convert to fraction form
    998.47/1,377.48 = 703.93/x
  3. Step 3: Cross multiply
    998.47x = 1,377.48 × 703.93
  4. Step 4: Simplify right side
    998.47x = 969,649.50
  5. Step 5: Solve for x
    x = 969,649.50/998.47
  6. Step 6: Final answer
    x = 971.14

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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.