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Finding the Fourth Proportional to 765.60, 1,148.37 and 533.82

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Solution

The fourth proportional to 765.60, 1,148.37 and 533.82 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.60 : 1,148.37 = 533.82 : x
  2. Step 2: Convert to fraction form
    765.60/1,148.37 = 533.82/x
  3. Step 3: Cross multiply
    765.60x = 1,148.37 × 533.82
  4. Step 4: Simplify right side
    765.60x = 613,022.87
  5. Step 5: Solve for x
    x = 613,022.87/765.60
  6. Step 6: Final answer
    x = 800.71

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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.