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Finding the Fourth Proportional to 765.07, 1,055.61 and 450.23

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Solution

The fourth proportional to 765.07, 1,055.61 and 450.23 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.07 : 1,055.61 = 450.23 : x
  2. Step 2: Convert to fraction form
    765.07/1,055.61 = 450.23/x
  3. Step 3: Cross multiply
    765.07x = 1,055.61 × 450.23
  4. Step 4: Simplify right side
    765.07x = 475,262.01
  5. Step 5: Solve for x
    x = 475,262.01/765.07
  6. Step 6: Final answer
    x = 621.20

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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.