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Finding the Fourth Proportional to 780.05, 1,170.30 and 260.14

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Solution

The fourth proportional to 780.05, 1,170.30 and 260.14 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.05 : 1,170.30 = 260.14 : x
  2. Step 2: Convert to fraction form
    780.05/1,170.30 = 260.14/x
  3. Step 3: Cross multiply
    780.05x = 1,170.30 × 260.14
  4. Step 4: Simplify right side
    780.05x = 304,441.84
  5. Step 5: Solve for x
    x = 304,441.84/780.05
  6. Step 6: Final answer
    x = 390.29

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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.