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Finding the Fourth Proportional to 780.61, 1,170.95 and 260.67

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Solution

The fourth proportional to 780.61, 1,170.95 and 260.67 is: 391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.61 : 1,170.95 = 260.67 : x
  2. Step 2: Convert to fraction form
    780.61/1,170.95 = 260.67/x
  3. Step 3: Cross multiply
    780.61x = 1,170.95 × 260.67
  4. Step 4: Simplify right side
    780.61x = 305,231.54
  5. Step 5: Solve for x
    x = 305,231.54/780.61
  6. Step 6: Final answer
    x = 391.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.