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Finding the Fourth Proportional to 708.82, 1,063.26 and 434.74

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Solution

The fourth proportional to 708.82, 1,063.26 and 434.74 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.82 : 1,063.26 = 434.74 : x
  2. Step 2: Convert to fraction form
    708.82/1,063.26 = 434.74/x
  3. Step 3: Cross multiply
    708.82x = 1,063.26 × 434.74
  4. Step 4: Simplify right side
    708.82x = 462,241.65
  5. Step 5: Solve for x
    x = 462,241.65/708.82
  6. Step 6: Final answer
    x = 652.13

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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.