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Finding the Fourth Proportional to 765.27, 1,056.05 and 450.47

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Solution

The fourth proportional to 765.27, 1,056.05 and 450.47 is: 621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.27 : 1,056.05 = 450.47 : x
  2. Step 2: Convert to fraction form
    765.27/1,056.05 = 450.47/x
  3. Step 3: Cross multiply
    765.27x = 1,056.05 × 450.47
  4. Step 4: Simplify right side
    765.27x = 475,711.31
  5. Step 5: Solve for x
    x = 475,711.31/765.27
  6. Step 6: Final answer
    x = 621.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.