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Finding the Fourth Proportional to 765.78, 1,146.63 and 522.78

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Solution

The fourth proportional to 765.78, 1,146.63 and 522.78 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,146.63 = 522.78 : x
  2. Step 2: Convert to fraction form
    765.78/1,146.63 = 522.78/x
  3. Step 3: Cross multiply
    765.78x = 1,146.63 × 522.78
  4. Step 4: Simplify right side
    765.78x = 599,435.23
  5. Step 5: Solve for x
    x = 599,435.23/765.78
  6. Step 6: Final answer
    x = 782.78

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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.