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Finding the Fourth Proportional to 979.19, 1,468.08 and 826.10

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Solution

The fourth proportional to 979.19, 1,468.08 and 826.10 is: 1,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.19 : 1,468.08 = 826.10 : x
  2. Step 2: Convert to fraction form
    979.19/1,468.08 = 826.10/x
  3. Step 3: Cross multiply
    979.19x = 1,468.08 × 826.10
  4. Step 4: Simplify right side
    979.19x = 1,212,773.55
  5. Step 5: Solve for x
    x = 1,212,773.55/979.19
  6. Step 6: Final answer
    x = 1,238.55

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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.