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Finding the Fourth Proportional to 1,188.83, 1,784.01 and 539.57

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Solution

The fourth proportional to 1,188.83, 1,784.01 and 539.57 is: 809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.83 : 1,784.01 = 539.57 : x
  2. Step 2: Convert to fraction form
    1,188.83/1,784.01 = 539.57/x
  3. Step 3: Cross multiply
    1,188.83x = 1,784.01 × 539.57
  4. Step 4: Simplify right side
    1,188.83x = 962,589.36
  5. Step 5: Solve for x
    x = 962,589.36/1,188.83
  6. Step 6: Final answer
    x = 809.70

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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.