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Finding the Fourth Proportional to 764.78, 1,146.90 and 522.86

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Solution

The fourth proportional to 764.78, 1,146.90 and 522.86 is: 784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,146.90 = 522.86 : x
  2. Step 2: Convert to fraction form
    764.78/1,146.90 = 522.86/x
  3. Step 3: Cross multiply
    764.78x = 1,146.90 × 522.86
  4. Step 4: Simplify right side
    764.78x = 599,668.13
  5. Step 5: Solve for x
    x = 599,668.13/764.78
  6. Step 6: Final answer
    x = 784.11

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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.