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Finding the Fourth Proportional to 765.93, 1,055.15 and 632.58

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Solution

The fourth proportional to 765.93, 1,055.15 and 632.58 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.93 : 1,055.15 = 632.58 : x
  2. Step 2: Convert to fraction form
    765.93/1,055.15 = 632.58/x
  3. Step 3: Cross multiply
    765.93x = 1,055.15 × 632.58
  4. Step 4: Simplify right side
    765.93x = 667,463.62
  5. Step 5: Solve for x
    x = 667,463.62/765.93
  6. Step 6: Final answer
    x = 871.44

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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.