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Finding the Fourth Proportional to 835.66, 1,253.23 and 348.59

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Solution

The fourth proportional to 835.66, 1,253.23 and 348.59 is: 522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,253.23 = 348.59 : x
  2. Step 2: Convert to fraction form
    835.66/1,253.23 = 348.59/x
  3. Step 3: Cross multiply
    835.66x = 1,253.23 × 348.59
  4. Step 4: Simplify right side
    835.66x = 436,863.45
  5. Step 5: Solve for x
    x = 436,863.45/835.66
  6. Step 6: Final answer
    x = 522.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.