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Finding the Fourth Proportional to 709.98, 1,064.52 and 299.40

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Solution

The fourth proportional to 709.98, 1,064.52 and 299.40 is: 448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 1,064.52 = 299.40 : x
  2. Step 2: Convert to fraction form
    709.98/1,064.52 = 299.40/x
  3. Step 3: Cross multiply
    709.98x = 1,064.52 × 299.40
  4. Step 4: Simplify right side
    709.98x = 318,717.29
  5. Step 5: Solve for x
    x = 318,717.29/709.98
  6. Step 6: Final answer
    x = 448.91

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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.