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Finding the Fourth Proportional to 938.08, 1,412.31 and 829.01

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Solution

The fourth proportional to 938.08, 1,412.31 and 829.01 is: 1,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.08 : 1,412.31 = 829.01 : x
  2. Step 2: Convert to fraction form
    938.08/1,412.31 = 829.01/x
  3. Step 3: Cross multiply
    938.08x = 1,412.31 × 829.01
  4. Step 4: Simplify right side
    938.08x = 1,170,820.57
  5. Step 5: Solve for x
    x = 1,170,820.57/938.08
  6. Step 6: Final answer
    x = 1,248.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.