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Finding the Fourth Proportional to 684.83, 1,026.05 and 539.52

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Solution

The fourth proportional to 684.83, 1,026.05 and 539.52 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.83 : 1,026.05 = 539.52 : x
  2. Step 2: Convert to fraction form
    684.83/1,026.05 = 539.52/x
  3. Step 3: Cross multiply
    684.83x = 1,026.05 × 539.52
  4. Step 4: Simplify right side
    684.83x = 553,571.80
  5. Step 5: Solve for x
    x = 553,571.80/684.83
  6. Step 6: Final answer
    x = 808.34

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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.