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Finding the Fourth Proportional to 998.04, 1,377.60 and 703.20

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Solution

The fourth proportional to 998.04, 1,377.60 and 703.20 is: 970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.04 : 1,377.60 = 703.20 : x
  2. Step 2: Convert to fraction form
    998.04/1,377.60 = 703.20/x
  3. Step 3: Cross multiply
    998.04x = 1,377.60 × 703.20
  4. Step 4: Simplify right side
    998.04x = 968,728.32
  5. Step 5: Solve for x
    x = 968,728.32/998.04
  6. Step 6: Final answer
    x = 970.63

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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.