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Finding the Fourth Proportional to 1,188.30, 1,778.76 and 776.55

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Solution

The fourth proportional to 1,188.30, 1,778.76 and 776.55 is: 1,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.30 : 1,778.76 = 776.55 : x
  2. Step 2: Convert to fraction form
    1,188.30/1,778.76 = 776.55/x
  3. Step 3: Cross multiply
    1,188.30x = 1,778.76 × 776.55
  4. Step 4: Simplify right side
    1,188.30x = 1,381,296.08
  5. Step 5: Solve for x
    x = 1,381,296.08/1,188.30
  6. Step 6: Final answer
    x = 1,162.41

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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.