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Finding the Fourth Proportional to 921.72, 1,382.70 and 488.64

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Solution

The fourth proportional to 921.72, 1,382.70 and 488.64 is: 733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.72 : 1,382.70 = 488.64 : x
  2. Step 2: Convert to fraction form
    921.72/1,382.70 = 488.64/x
  3. Step 3: Cross multiply
    921.72x = 1,382.70 × 488.64
  4. Step 4: Simplify right side
    921.72x = 675,642.53
  5. Step 5: Solve for x
    x = 675,642.53/921.72
  6. Step 6: Final answer
    x = 733.02

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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.