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Finding the Fourth Proportional to 709.61, 1,065.15 and 299.03

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Solution

The fourth proportional to 709.61, 1,065.15 and 299.03 is: 448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.61 : 1,065.15 = 299.03 : x
  2. Step 2: Convert to fraction form
    709.61/1,065.15 = 299.03/x
  3. Step 3: Cross multiply
    709.61x = 1,065.15 × 299.03
  4. Step 4: Simplify right side
    709.61x = 318,506.48
  5. Step 5: Solve for x
    x = 318,506.48/709.61
  6. Step 6: Final answer
    x = 448.85

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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.