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Finding the Fourth Proportional to 691.08, 1,034.24 and 430.96

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Solution

The fourth proportional to 691.08, 1,034.24 and 430.96 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 1,034.24 = 430.96 : x
  2. Step 2: Convert to fraction form
    691.08/1,034.24 = 430.96/x
  3. Step 3: Cross multiply
    691.08x = 1,034.24 × 430.96
  4. Step 4: Simplify right side
    691.08x = 445,716.07
  5. Step 5: Solve for x
    x = 445,716.07/691.08
  6. Step 6: Final answer
    x = 644.96

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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.