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Finding the Fourth Proportional to 793.11, 1,188.69 and 562.06

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Solution

The fourth proportional to 793.11, 1,188.69 and 562.06 is: 842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.11 : 1,188.69 = 562.06 : x
  2. Step 2: Convert to fraction form
    793.11/1,188.69 = 562.06/x
  3. Step 3: Cross multiply
    793.11x = 1,188.69 × 562.06
  4. Step 4: Simplify right side
    793.11x = 668,115.10
  5. Step 5: Solve for x
    x = 668,115.10/793.11
  6. Step 6: Final answer
    x = 842.40

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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.