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Finding the Fourth Proportional to 836.96, 1,154.48 and 659.73

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Solution

The fourth proportional to 836.96, 1,154.48 and 659.73 is: 910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.96 : 1,154.48 = 659.73 : x
  2. Step 2: Convert to fraction form
    836.96/1,154.48 = 659.73/x
  3. Step 3: Cross multiply
    836.96x = 1,154.48 × 659.73
  4. Step 4: Simplify right side
    836.96x = 761,641.79
  5. Step 5: Solve for x
    x = 761,641.79/836.96
  6. Step 6: Final answer
    x = 910.01

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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.