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Finding the Fourth Proportional to 836.81, 1,154.83 and 505.23

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Solution

The fourth proportional to 836.81, 1,154.83 and 505.23 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.81 : 1,154.83 = 505.23 : x
  2. Step 2: Convert to fraction form
    836.81/1,154.83 = 505.23/x
  3. Step 3: Cross multiply
    836.81x = 1,154.83 × 505.23
  4. Step 4: Simplify right side
    836.81x = 583,451.06
  5. Step 5: Solve for x
    x = 583,451.06/836.81
  6. Step 6: Final answer
    x = 697.24

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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.