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Finding the Fourth Proportional to 765.45, 1,056.24 and 450.63

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Solution

The fourth proportional to 765.45, 1,056.24 and 450.63 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,056.24 = 450.63 : x
  2. Step 2: Convert to fraction form
    765.45/1,056.24 = 450.63/x
  3. Step 3: Cross multiply
    765.45x = 1,056.24 × 450.63
  4. Step 4: Simplify right side
    765.45x = 475,973.43
  5. Step 5: Solve for x
    x = 475,973.43/765.45
  6. Step 6: Final answer
    x = 621.82

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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.