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Finding the Fourth Proportional to 906.87, 1,359.92 and 322.02

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Solution

The fourth proportional to 906.87, 1,359.92 and 322.02 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.87 : 1,359.92 = 322.02 : x
  2. Step 2: Convert to fraction form
    906.87/1,359.92 = 322.02/x
  3. Step 3: Cross multiply
    906.87x = 1,359.92 × 322.02
  4. Step 4: Simplify right side
    906.87x = 437,913.83
  5. Step 5: Solve for x
    x = 437,913.83/906.87
  6. Step 6: Final answer
    x = 482.89

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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.