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Finding the Fourth Proportional to 905.30, 1,350.63 and 824.57

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Solution

The fourth proportional to 905.30, 1,350.63 and 824.57 is: 1,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.30 : 1,350.63 = 824.57 : x
  2. Step 2: Convert to fraction form
    905.30/1,350.63 = 824.57/x
  3. Step 3: Cross multiply
    905.30x = 1,350.63 × 824.57
  4. Step 4: Simplify right side
    905.30x = 1,113,688.98
  5. Step 5: Solve for x
    x = 1,113,688.98/905.30
  6. Step 6: Final answer
    x = 1,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.