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Finding the Fourth Proportional to 1,074.32, 1,483.92 and 794.96

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Solution

The fourth proportional to 1,074.32, 1,483.92 and 794.96 is: 1,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.32 : 1,483.92 = 794.96 : x
  2. Step 2: Convert to fraction form
    1,074.32/1,483.92 = 794.96/x
  3. Step 3: Cross multiply
    1,074.32x = 1,483.92 × 794.96
  4. Step 4: Simplify right side
    1,074.32x = 1,179,657.04
  5. Step 5: Solve for x
    x = 1,179,657.04/1,074.32
  6. Step 6: Final answer
    x = 1,098.05

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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.