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Finding the Fourth Proportional to 766.35, 1,148.13 and 522

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Solution

The fourth proportional to 766.35, 1,148.13 and 522 is: 782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.35 : 1,148.13 = 522 : x
  2. Step 2: Convert to fraction form
    766.35/1,148.13 = 522/x
  3. Step 3: Cross multiply
    766.35x = 1,148.13 × 522
  4. Step 4: Simplify right side
    766.35x = 599,323.86
  5. Step 5: Solve for x
    x = 599,323.86/766.35
  6. Step 6: Final answer
    x = 782.05

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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.