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Finding the Fourth Proportional to 1,535.83, 2,304.44 and 833.26

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Solution

The fourth proportional to 1,535.83, 2,304.44 and 833.26 is: 1,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.83 : 2,304.44 = 833.26 : x
  2. Step 2: Convert to fraction form
    1,535.83/2,304.44 = 833.26/x
  3. Step 3: Cross multiply
    1,535.83x = 2,304.44 × 833.26
  4. Step 4: Simplify right side
    1,535.83x = 1,920,189.83
  5. Step 5: Solve for x
    x = 1,920,189.83/1,535.83
  6. Step 6: Final answer
    x = 1,250.26

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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.