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Finding the Fourth Proportional to 921.19, 1,382.01 and 459.19

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Solution

The fourth proportional to 921.19, 1,382.01 and 459.19 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.19 : 1,382.01 = 459.19 : x
  2. Step 2: Convert to fraction form
    921.19/1,382.01 = 459.19/x
  3. Step 3: Cross multiply
    921.19x = 1,382.01 × 459.19
  4. Step 4: Simplify right side
    921.19x = 634,605.17
  5. Step 5: Solve for x
    x = 634,605.17/921.19
  6. Step 6: Final answer
    x = 688.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.