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Finding the Fourth Proportional to 749.66, 1,123.05 and 688.46

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Solution

The fourth proportional to 749.66, 1,123.05 and 688.46 is: 1,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,123.05 = 688.46 : x
  2. Step 2: Convert to fraction form
    749.66/1,123.05 = 688.46/x
  3. Step 3: Cross multiply
    749.66x = 1,123.05 × 688.46
  4. Step 4: Simplify right side
    749.66x = 773,175.00
  5. Step 5: Solve for x
    x = 773,175.00/749.66
  6. Step 6: Final answer
    x = 1,031.37

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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.