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Finding the Fourth Proportional to 908.16, 1,253.64 and 609.85

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Solution

The fourth proportional to 908.16, 1,253.64 and 609.85 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.16 : 1,253.64 = 609.85 : x
  2. Step 2: Convert to fraction form
    908.16/1,253.64 = 609.85/x
  3. Step 3: Cross multiply
    908.16x = 1,253.64 × 609.85
  4. Step 4: Simplify right side
    908.16x = 764,532.35
  5. Step 5: Solve for x
    x = 764,532.35/908.16
  6. Step 6: Final answer
    x = 841.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.