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Finding the Fourth Proportional to 765.86, 1,148.43 and 252.50

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Solution

The fourth proportional to 765.86, 1,148.43 and 252.50 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.86 : 1,148.43 = 252.50 : x
  2. Step 2: Convert to fraction form
    765.86/1,148.43 = 252.50/x
  3. Step 3: Cross multiply
    765.86x = 1,148.43 × 252.50
  4. Step 4: Simplify right side
    765.86x = 289,978.58
  5. Step 5: Solve for x
    x = 289,978.58/765.86
  6. Step 6: Final answer
    x = 378.63

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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.