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Finding the Fourth Proportional to 899.52, 1,349.28 and 411.12

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Solution

The fourth proportional to 899.52, 1,349.28 and 411.12 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.52 : 1,349.28 = 411.12 : x
  2. Step 2: Convert to fraction form
    899.52/1,349.28 = 411.12/x
  3. Step 3: Cross multiply
    899.52x = 1,349.28 × 411.12
  4. Step 4: Simplify right side
    899.52x = 554,715.99
  5. Step 5: Solve for x
    x = 554,715.99/899.52
  6. Step 6: Final answer
    x = 616.68

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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.