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Finding the Fourth Proportional to 1,352.64, 2,029.60 and 833.24

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Solution

The fourth proportional to 1,352.64, 2,029.60 and 833.24 is: 1,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.64 : 2,029.60 = 833.24 : x
  2. Step 2: Convert to fraction form
    1,352.64/2,029.60 = 833.24/x
  3. Step 3: Cross multiply
    1,352.64x = 2,029.60 × 833.24
  4. Step 4: Simplify right side
    1,352.64x = 1,691,143.90
  5. Step 5: Solve for x
    x = 1,691,143.90/1,352.64
  6. Step 6: Final answer
    x = 1,250.25

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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.