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Finding the Fourth Proportional to 709.97, 1,065.02 and 299.23

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Solution

The fourth proportional to 709.97, 1,065.02 and 299.23 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 1,065.02 = 299.23 : x
  2. Step 2: Convert to fraction form
    709.97/1,065.02 = 299.23/x
  3. Step 3: Cross multiply
    709.97x = 1,065.02 × 299.23
  4. Step 4: Simplify right side
    709.97x = 318,681.78
  5. Step 5: Solve for x
    x = 318,681.78/709.97
  6. Step 6: Final answer
    x = 448.87

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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.