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Finding the Fourth Proportional to 853.71, 1,281.65 and 726.27

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Solution

The fourth proportional to 853.71, 1,281.65 and 726.27 is: 1,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,281.65 = 726.27 : x
  2. Step 2: Convert to fraction form
    853.71/1,281.65 = 726.27/x
  3. Step 3: Cross multiply
    853.71x = 1,281.65 × 726.27
  4. Step 4: Simplify right side
    853.71x = 930,820.31
  5. Step 5: Solve for x
    x = 930,820.31/853.71
  6. Step 6: Final answer
    x = 1,090.32

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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.