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Finding the Fourth Proportional to 708.57, 1,063.10 and 448.77

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Solution

The fourth proportional to 708.57, 1,063.10 and 448.77 is: 673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.57 : 1,063.10 = 448.77 : x
  2. Step 2: Convert to fraction form
    708.57/1,063.10 = 448.77/x
  3. Step 3: Cross multiply
    708.57x = 1,063.10 × 448.77
  4. Step 4: Simplify right side
    708.57x = 477,085.14
  5. Step 5: Solve for x
    x = 477,085.14/708.57
  6. Step 6: Final answer
    x = 673.31

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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.