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Finding the Fourth Proportional to 748.20, 1,031.22 and 705

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Solution

The fourth proportional to 748.20, 1,031.22 and 705 is: 971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.20 : 1,031.22 = 705 : x
  2. Step 2: Convert to fraction form
    748.20/1,031.22 = 705/x
  3. Step 3: Cross multiply
    748.20x = 1,031.22 × 705
  4. Step 4: Simplify right side
    748.20x = 727,010.10
  5. Step 5: Solve for x
    x = 727,010.10/748.20
  6. Step 6: Final answer
    x = 971.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.