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Finding the Fourth Proportional to 709.92, 1,063.26 and 637.02

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Solution

The fourth proportional to 709.92, 1,063.26 and 637.02 is: 954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 1,063.26 = 637.02 : x
  2. Step 2: Convert to fraction form
    709.92/1,063.26 = 637.02/x
  3. Step 3: Cross multiply
    709.92x = 1,063.26 × 637.02
  4. Step 4: Simplify right side
    709.92x = 677,317.89
  5. Step 5: Solve for x
    x = 677,317.89/709.92
  6. Step 6: Final answer
    x = 954.08

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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.