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Finding the Fourth Proportional to 829.16, 1,243.38 and 341.90

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Solution

The fourth proportional to 829.16, 1,243.38 and 341.90 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.16 : 1,243.38 = 341.90 : x
  2. Step 2: Convert to fraction form
    829.16/1,243.38 = 341.90/x
  3. Step 3: Cross multiply
    829.16x = 1,243.38 × 341.90
  4. Step 4: Simplify right side
    829.16x = 425,111.62
  5. Step 5: Solve for x
    x = 425,111.62/829.16
  6. Step 6: Final answer
    x = 512.70

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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.