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Finding the Fourth Proportional to 1,335.26, 1,842.82 and 811.46

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Solution

The fourth proportional to 1,335.26, 1,842.82 and 811.46 is: 1,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.26 : 1,842.82 = 811.46 : x
  2. Step 2: Convert to fraction form
    1,335.26/1,842.82 = 811.46/x
  3. Step 3: Cross multiply
    1,335.26x = 1,842.82 × 811.46
  4. Step 4: Simplify right side
    1,335.26x = 1,495,374.72
  5. Step 5: Solve for x
    x = 1,495,374.72/1,335.26
  6. Step 6: Final answer
    x = 1,119.91

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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.