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Finding the Fourth Proportional to 1,149.97, 1,565.73 and 1,146.33

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Solution

The fourth proportional to 1,149.97, 1,565.73 and 1,146.33 is: 1,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.97 : 1,565.73 = 1,146.33 : x
  2. Step 2: Convert to fraction form
    1,149.97/1,565.73 = 1,146.33/x
  3. Step 3: Cross multiply
    1,149.97x = 1,565.73 × 1,146.33
  4. Step 4: Simplify right side
    1,149.97x = 1,794,843.27
  5. Step 5: Solve for x
    x = 1,794,843.27/1,149.97
  6. Step 6: Final answer
    x = 1,560.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.