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Finding the Fourth Proportional to 806.54, 1,209 and 542.48

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Solution

The fourth proportional to 806.54, 1,209 and 542.48 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.54 : 1,209 = 542.48 : x
  2. Step 2: Convert to fraction form
    806.54/1,209 = 542.48/x
  3. Step 3: Cross multiply
    806.54x = 1,209 × 542.48
  4. Step 4: Simplify right side
    806.54x = 655,858.32
  5. Step 5: Solve for x
    x = 655,858.32/806.54
  6. Step 6: Final answer
    x = 813.18

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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.