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Finding the Fourth Proportional to 1,335.71, 1,842.99 and 746.23

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Solution

The fourth proportional to 1,335.71, 1,842.99 and 746.23 is: 1,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.71 : 1,842.99 = 746.23 : x
  2. Step 2: Convert to fraction form
    1,335.71/1,842.99 = 746.23/x
  3. Step 3: Cross multiply
    1,335.71x = 1,842.99 × 746.23
  4. Step 4: Simplify right side
    1,335.71x = 1,375,294.43
  5. Step 5: Solve for x
    x = 1,375,294.43/1,335.71
  6. Step 6: Final answer
    x = 1,029.64

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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.