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Finding the Fourth Proportional to 780.44, 1,170.21 and 260.16

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Solution

The fourth proportional to 780.44, 1,170.21 and 260.16 is: 390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,170.21 = 260.16 : x
  2. Step 2: Convert to fraction form
    780.44/1,170.21 = 260.16/x
  3. Step 3: Cross multiply
    780.44x = 1,170.21 × 260.16
  4. Step 4: Simplify right side
    780.44x = 304,438.42
  5. Step 5: Solve for x
    x = 304,438.42/780.44
  6. Step 6: Final answer
    x = 390.09

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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.