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Finding the Fourth Proportional to 709.72, 1,064.96 and 299.14

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Solution

The fourth proportional to 709.72, 1,064.96 and 299.14 is: 448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,064.96 = 299.14 : x
  2. Step 2: Convert to fraction form
    709.72/1,064.96 = 299.14/x
  3. Step 3: Cross multiply
    709.72x = 1,064.96 × 299.14
  4. Step 4: Simplify right side
    709.72x = 318,565.31
  5. Step 5: Solve for x
    x = 318,565.31/709.72
  6. Step 6: Final answer
    x = 448.86

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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.