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Finding the Fourth Proportional to 709.57, 1,064.46 and 298.45

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Solution

The fourth proportional to 709.57, 1,064.46 and 298.45 is: 447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 1,064.46 = 298.45 : x
  2. Step 2: Convert to fraction form
    709.57/1,064.46 = 298.45/x
  3. Step 3: Cross multiply
    709.57x = 1,064.46 × 298.45
  4. Step 4: Simplify right side
    709.57x = 317,686.59
  5. Step 5: Solve for x
    x = 317,686.59/709.57
  6. Step 6: Final answer
    x = 447.72

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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.