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Finding the Fourth Proportional to 1,531.70, 2,113.69 and 833.08

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Solution

The fourth proportional to 1,531.70, 2,113.69 and 833.08 is: 1,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.70 : 2,113.69 = 833.08 : x
  2. Step 2: Convert to fraction form
    1,531.70/2,113.69 = 833.08/x
  3. Step 3: Cross multiply
    1,531.70x = 2,113.69 × 833.08
  4. Step 4: Simplify right side
    1,531.70x = 1,760,858.13
  5. Step 5: Solve for x
    x = 1,760,858.13/1,531.70
  6. Step 6: Final answer
    x = 1,149.61

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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.