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Finding the Fourth Proportional to 754.22, 1,041.05 and 488.67

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Solution

The fourth proportional to 754.22, 1,041.05 and 488.67 is: 674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.22 : 1,041.05 = 488.67 : x
  2. Step 2: Convert to fraction form
    754.22/1,041.05 = 488.67/x
  3. Step 3: Cross multiply
    754.22x = 1,041.05 × 488.67
  4. Step 4: Simplify right side
    754.22x = 508,730.17
  5. Step 5: Solve for x
    x = 508,730.17/754.22
  6. Step 6: Final answer
    x = 674.52

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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.