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Finding the Fourth Proportional to 836.67, 1,154.52 and 482.58

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Solution

The fourth proportional to 836.67, 1,154.52 and 482.58 is: 665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.67 : 1,154.52 = 482.58 : x
  2. Step 2: Convert to fraction form
    836.67/1,154.52 = 482.58/x
  3. Step 3: Cross multiply
    836.67x = 1,154.52 × 482.58
  4. Step 4: Simplify right side
    836.67x = 557,148.26
  5. Step 5: Solve for x
    x = 557,148.26/836.67
  6. Step 6: Final answer
    x = 665.91

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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.