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Finding the Fourth Proportional to 1,277.32, 1,915.96 and 728.33

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Solution

The fourth proportional to 1,277.32, 1,915.96 and 728.33 is: 1,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.32 : 1,915.96 = 728.33 : x
  2. Step 2: Convert to fraction form
    1,277.32/1,915.96 = 728.33/x
  3. Step 3: Cross multiply
    1,277.32x = 1,915.96 × 728.33
  4. Step 4: Simplify right side
    1,277.32x = 1,395,451.15
  5. Step 5: Solve for x
    x = 1,395,451.15/1,277.32
  6. Step 6: Final answer
    x = 1,092.48

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1.5x scale

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.