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Finding the Fourth Proportional to 1,454.24, 2,006.40 and 833.12

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Solution

The fourth proportional to 1,454.24, 2,006.40 and 833.12 is: 1,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.24 : 2,006.40 = 833.12 : x
  2. Step 2: Convert to fraction form
    1,454.24/2,006.40 = 833.12/x
  3. Step 3: Cross multiply
    1,454.24x = 2,006.40 × 833.12
  4. Step 4: Simplify right side
    1,454.24x = 1,671,571.97
  5. Step 5: Solve for x
    x = 1,671,571.97/1,454.24
  6. Step 6: Final answer
    x = 1,149.45

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1.5x scale

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.