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Finding the Fourth Proportional to 836.97, 1,154.82 and 505.26

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Solution

The fourth proportional to 836.97, 1,154.82 and 505.26 is: 697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.97 : 1,154.82 = 505.26 : x
  2. Step 2: Convert to fraction form
    836.97/1,154.82 = 505.26/x
  3. Step 3: Cross multiply
    836.97x = 1,154.82 × 505.26
  4. Step 4: Simplify right side
    836.97x = 583,484.35
  5. Step 5: Solve for x
    x = 583,484.35/836.97
  6. Step 6: Final answer
    x = 697.14

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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.