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Finding the Fourth Proportional to 780.48, 1,170.45 and 346.86

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Solution

The fourth proportional to 780.48, 1,170.45 and 346.86 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.48 : 1,170.45 = 346.86 : x
  2. Step 2: Convert to fraction form
    780.48/1,170.45 = 346.86/x
  3. Step 3: Cross multiply
    780.48x = 1,170.45 × 346.86
  4. Step 4: Simplify right side
    780.48x = 405,982.29
  5. Step 5: Solve for x
    x = 405,982.29/780.48
  6. Step 6: Final answer
    x = 520.17

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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.