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Finding the Fourth Proportional to 748.65, 1,031.85 and 608.25

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Solution

The fourth proportional to 748.65, 1,031.85 and 608.25 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,031.85 = 608.25 : x
  2. Step 2: Convert to fraction form
    748.65/1,031.85 = 608.25/x
  3. Step 3: Cross multiply
    748.65x = 1,031.85 × 608.25
  4. Step 4: Simplify right side
    748.65x = 627,622.76
  5. Step 5: Solve for x
    x = 627,622.76/748.65
  6. Step 6: Final answer
    x = 838.34

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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.