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Finding the Fourth Proportional to 1,032.04, 1,546.44 and 798.35

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Solution

The fourth proportional to 1,032.04, 1,546.44 and 798.35 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.04 : 1,546.44 = 798.35 : x
  2. Step 2: Convert to fraction form
    1,032.04/1,546.44 = 798.35/x
  3. Step 3: Cross multiply
    1,032.04x = 1,546.44 × 798.35
  4. Step 4: Simplify right side
    1,032.04x = 1,234,592.58
  5. Step 5: Solve for x
    x = 1,234,592.58/1,032.04
  6. Step 6: Final answer
    x = 1,196.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.