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Finding the Fourth Proportional to 1,109.60, 1,661.28 and 836.96

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Solution

The fourth proportional to 1,109.60, 1,661.28 and 836.96 is: 1,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.60 : 1,661.28 = 836.96 : x
  2. Step 2: Convert to fraction form
    1,109.60/1,661.28 = 836.96/x
  3. Step 3: Cross multiply
    1,109.60x = 1,661.28 × 836.96
  4. Step 4: Simplify right side
    1,109.60x = 1,390,424.91
  5. Step 5: Solve for x
    x = 1,390,424.91/1,109.60
  6. Step 6: Final answer
    x = 1,253.09

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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.