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Finding the Fourth Proportional to 1,032.72, 1,546.60 and 801.24

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Solution

The fourth proportional to 1,032.72, 1,546.60 and 801.24 is: 1,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.72 : 1,546.60 = 801.24 : x
  2. Step 2: Convert to fraction form
    1,032.72/1,546.60 = 801.24/x
  3. Step 3: Cross multiply
    1,032.72x = 1,546.60 × 801.24
  4. Step 4: Simplify right side
    1,032.72x = 1,239,197.78
  5. Step 5: Solve for x
    x = 1,239,197.78/1,032.72
  6. Step 6: Final answer
    x = 1,199.94

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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.