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Finding the Fourth Proportional to 834.65, 1,252.42 and 348.03

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Solution

The fourth proportional to 834.65, 1,252.42 and 348.03 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.65 : 1,252.42 = 348.03 : x
  2. Step 2: Convert to fraction form
    834.65/1,252.42 = 348.03/x
  3. Step 3: Cross multiply
    834.65x = 1,252.42 × 348.03
  4. Step 4: Simplify right side
    834.65x = 435,878.86
  5. Step 5: Solve for x
    x = 435,878.86/834.65
  6. Step 6: Final answer
    x = 522.23

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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.