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Finding the Fourth Proportional to 780.20, 1,170.41 and 260.03

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Solution

The fourth proportional to 780.20, 1,170.41 and 260.03 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.20 : 1,170.41 = 260.03 : x
  2. Step 2: Convert to fraction form
    780.20/1,170.41 = 260.03/x
  3. Step 3: Cross multiply
    780.20x = 1,170.41 × 260.03
  4. Step 4: Simplify right side
    780.20x = 304,341.71
  5. Step 5: Solve for x
    x = 304,341.71/780.20
  6. Step 6: Final answer
    x = 390.08

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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.