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Finding the Fourth Proportional to 912.85, 1,369.19 and 547.37

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Solution

The fourth proportional to 912.85, 1,369.19 and 547.37 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.85 : 1,369.19 = 547.37 : x
  2. Step 2: Convert to fraction form
    912.85/1,369.19 = 547.37/x
  3. Step 3: Cross multiply
    912.85x = 1,369.19 × 547.37
  4. Step 4: Simplify right side
    912.85x = 749,453.53
  5. Step 5: Solve for x
    x = 749,453.53/912.85
  6. Step 6: Final answer
    x = 821.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.