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Finding the Fourth Proportional to 836.25, 1,154.04 and 525.75

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Solution

The fourth proportional to 836.25, 1,154.04 and 525.75 is: 725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,154.04 = 525.75 : x
  2. Step 2: Convert to fraction form
    836.25/1,154.04 = 525.75/x
  3. Step 3: Cross multiply
    836.25x = 1,154.04 × 525.75
  4. Step 4: Simplify right side
    836.25x = 606,736.53
  5. Step 5: Solve for x
    x = 606,736.53/836.25
  6. Step 6: Final answer
    x = 725.54

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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.