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Finding the Fourth Proportional to 712.20, 1,065.87 and 590.70

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Solution

The fourth proportional to 712.20, 1,065.87 and 590.70 is: 884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 1,065.87 = 590.70 : x
  2. Step 2: Convert to fraction form
    712.20/1,065.87 = 590.70/x
  3. Step 3: Cross multiply
    712.20x = 1,065.87 × 590.70
  4. Step 4: Simplify right side
    712.20x = 629,609.41
  5. Step 5: Solve for x
    x = 629,609.41/712.20
  6. Step 6: Final answer
    x = 884.03

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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.