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Finding the Fourth Proportional to 748.07, 1,031.84 and 580.46

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Solution

The fourth proportional to 748.07, 1,031.84 and 580.46 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.07 : 1,031.84 = 580.46 : x
  2. Step 2: Convert to fraction form
    748.07/1,031.84 = 580.46/x
  3. Step 3: Cross multiply
    748.07x = 1,031.84 × 580.46
  4. Step 4: Simplify right side
    748.07x = 598,938.14
  5. Step 5: Solve for x
    x = 598,938.14/748.07
  6. Step 6: Final answer
    x = 800.64

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