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Finding the Fourth Proportional to 921.52, 1,382.04 and 434.08

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Solution

The fourth proportional to 921.52, 1,382.04 and 434.08 is: 651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.52 : 1,382.04 = 434.08 : x
  2. Step 2: Convert to fraction form
    921.52/1,382.04 = 434.08/x
  3. Step 3: Cross multiply
    921.52x = 1,382.04 × 434.08
  4. Step 4: Simplify right side
    921.52x = 599,915.92
  5. Step 5: Solve for x
    x = 599,915.92/921.52
  6. Step 6: Final answer
    x = 651.01

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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.