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Finding the Fourth Proportional to 709.11, 1,063.58 and 189.15

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Solution

The fourth proportional to 709.11, 1,063.58 and 189.15 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.11 : 1,063.58 = 189.15 : x
  2. Step 2: Convert to fraction form
    709.11/1,063.58 = 189.15/x
  3. Step 3: Cross multiply
    709.11x = 1,063.58 × 189.15
  4. Step 4: Simplify right side
    709.11x = 201,175.92
  5. Step 5: Solve for x
    x = 201,175.92/709.11
  6. Step 6: Final answer
    x = 283.70

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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.