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Finding the Fourth Proportional to 830.11, 1,144.96 and 704.90

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Solution

The fourth proportional to 830.11, 1,144.96 and 704.90 is: 972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,144.96 = 704.90 : x
  2. Step 2: Convert to fraction form
    830.11/1,144.96 = 704.90/x
  3. Step 3: Cross multiply
    830.11x = 1,144.96 × 704.90
  4. Step 4: Simplify right side
    830.11x = 807,082.30
  5. Step 5: Solve for x
    x = 807,082.30/830.11
  6. Step 6: Final answer
    x = 972.26

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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.