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Finding the Fourth Proportional to 1,066.32, 1,599.48 and 296.82

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Solution

The fourth proportional to 1,066.32, 1,599.48 and 296.82 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.32 : 1,599.48 = 296.82 : x
  2. Step 2: Convert to fraction form
    1,066.32/1,599.48 = 296.82/x
  3. Step 3: Cross multiply
    1,066.32x = 1,599.48 × 296.82
  4. Step 4: Simplify right side
    1,066.32x = 474,757.65
  5. Step 5: Solve for x
    x = 474,757.65/1,066.32
  6. Step 6: Final answer
    x = 445.23

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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.