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Finding the Fourth Proportional to 780.29, 1,170.47 and 260.52

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Solution

The fourth proportional to 780.29, 1,170.47 and 260.52 is: 390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.29 : 1,170.47 = 260.52 : x
  2. Step 2: Convert to fraction form
    780.29/1,170.47 = 260.52/x
  3. Step 3: Cross multiply
    780.29x = 1,170.47 × 260.52
  4. Step 4: Simplify right side
    780.29x = 304,929.54
  5. Step 5: Solve for x
    x = 304,929.54/780.29
  6. Step 6: Final answer
    x = 390.79

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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.