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Finding the Fourth Proportional to 813.54, 1,121.53 and 547.51

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Solution

The fourth proportional to 813.54, 1,121.53 and 547.51 is: 754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.54 : 1,121.53 = 547.51 : x
  2. Step 2: Convert to fraction form
    813.54/1,121.53 = 547.51/x
  3. Step 3: Cross multiply
    813.54x = 1,121.53 × 547.51
  4. Step 4: Simplify right side
    813.54x = 614,040.55
  5. Step 5: Solve for x
    x = 614,040.55/813.54
  6. Step 6: Final answer
    x = 754.78

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Why These Related Problems?

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