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Finding the Fourth Proportional to 1,298.71, 1,791.28 and 826.14

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Solution

The fourth proportional to 1,298.71, 1,791.28 and 826.14 is: 1,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.71 : 1,791.28 = 826.14 : x
  2. Step 2: Convert to fraction form
    1,298.71/1,791.28 = 826.14/x
  3. Step 3: Cross multiply
    1,298.71x = 1,791.28 × 826.14
  4. Step 4: Simplify right side
    1,298.71x = 1,479,848.06
  5. Step 5: Solve for x
    x = 1,479,848.06/1,298.71
  6. Step 6: Final answer
    x = 1,139.48

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1.5x scale

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.