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Finding the Fourth Proportional to 709.58, 1,064.36 and 247.35

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Solution

The fourth proportional to 709.58, 1,064.36 and 247.35 is: 371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.58 : 1,064.36 = 247.35 : x
  2. Step 2: Convert to fraction form
    709.58/1,064.36 = 247.35/x
  3. Step 3: Cross multiply
    709.58x = 1,064.36 × 247.35
  4. Step 4: Simplify right side
    709.58x = 263,269.45
  5. Step 5: Solve for x
    x = 263,269.45/709.58
  6. Step 6: Final answer
    x = 371.02

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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.