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Finding the Fourth Proportional to 921.07, 1,382.01 and 488.26

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Solution

The fourth proportional to 921.07, 1,382.01 and 488.26 is: 732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.07 : 1,382.01 = 488.26 : x
  2. Step 2: Convert to fraction form
    921.07/1,382.01 = 488.26/x
  3. Step 3: Cross multiply
    921.07x = 1,382.01 × 488.26
  4. Step 4: Simplify right side
    921.07x = 674,780.20
  5. Step 5: Solve for x
    x = 674,780.20/921.07
  6. Step 6: Final answer
    x = 732.60

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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.