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Finding the Fourth Proportional to 711.08, 1,065.65 and 299.73

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Solution

The fourth proportional to 711.08, 1,065.65 and 299.73 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.08 : 1,065.65 = 299.73 : x
  2. Step 2: Convert to fraction form
    711.08/1,065.65 = 299.73/x
  3. Step 3: Cross multiply
    711.08x = 1,065.65 × 299.73
  4. Step 4: Simplify right side
    711.08x = 319,405.78
  5. Step 5: Solve for x
    x = 319,405.78/711.08
  6. Step 6: Final answer
    x = 449.19

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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.