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Finding the Fourth Proportional to 709.46, 1,064.14 and 247.46

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Solution

The fourth proportional to 709.46, 1,064.14 and 247.46 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 1,064.14 = 247.46 : x
  2. Step 2: Convert to fraction form
    709.46/1,064.14 = 247.46/x
  3. Step 3: Cross multiply
    709.46x = 1,064.14 × 247.46
  4. Step 4: Simplify right side
    709.46x = 263,332.08
  5. Step 5: Solve for x
    x = 263,332.08/709.46
  6. Step 6: Final answer
    x = 371.17

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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.