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Finding the Fourth Proportional to 898.19, 1,344.68 and 550.47

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Solution

The fourth proportional to 898.19, 1,344.68 and 550.47 is: 824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.19 : 1,344.68 = 550.47 : x
  2. Step 2: Convert to fraction form
    898.19/1,344.68 = 550.47/x
  3. Step 3: Cross multiply
    898.19x = 1,344.68 × 550.47
  4. Step 4: Simplify right side
    898.19x = 740,203.25
  5. Step 5: Solve for x
    x = 740,203.25/898.19
  6. Step 6: Final answer
    x = 824.11

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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.