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Finding the Fourth Proportional to 906.23, 1,359.67 and 473.08

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Solution

The fourth proportional to 906.23, 1,359.67 and 473.08 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.23 : 1,359.67 = 473.08 : x
  2. Step 2: Convert to fraction form
    906.23/1,359.67 = 473.08/x
  3. Step 3: Cross multiply
    906.23x = 1,359.67 × 473.08
  4. Step 4: Simplify right side
    906.23x = 643,232.68
  5. Step 5: Solve for x
    x = 643,232.68/906.23
  6. Step 6: Final answer
    x = 709.79

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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.