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Finding the Fourth Proportional to 767.43, 1,151.84 and 520.04

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Solution

The fourth proportional to 767.43, 1,151.84 and 520.04 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.43 : 1,151.84 = 520.04 : x
  2. Step 2: Convert to fraction form
    767.43/1,151.84 = 520.04/x
  3. Step 3: Cross multiply
    767.43x = 1,151.84 × 520.04
  4. Step 4: Simplify right side
    767.43x = 598,994.51
  5. Step 5: Solve for x
    x = 598,994.51/767.43
  6. Step 6: Final answer
    x = 780.52

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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.