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Finding the Fourth Proportional to 765.25, 1,055.71 and 587.91

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Solution

The fourth proportional to 765.25, 1,055.71 and 587.91 is: 811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.25 : 1,055.71 = 587.91 : x
  2. Step 2: Convert to fraction form
    765.25/1,055.71 = 587.91/x
  3. Step 3: Cross multiply
    765.25x = 1,055.71 × 587.91
  4. Step 4: Simplify right side
    765.25x = 620,662.47
  5. Step 5: Solve for x
    x = 620,662.47/765.25
  6. Step 6: Final answer
    x = 811.06

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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.