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Finding the Fourth Proportional to 1,101.71, 1,644.69 and 1,063.26

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Solution

The fourth proportional to 1,101.71, 1,644.69 and 1,063.26 is: 1,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.71 : 1,644.69 = 1,063.26 : x
  2. Step 2: Convert to fraction form
    1,101.71/1,644.69 = 1,063.26/x
  3. Step 3: Cross multiply
    1,101.71x = 1,644.69 × 1,063.26
  4. Step 4: Simplify right side
    1,101.71x = 1,748,733.09
  5. Step 5: Solve for x
    x = 1,748,733.09/1,101.71
  6. Step 6: Final answer
    x = 1,587.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.