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Finding the Fourth Proportional to 864.83, 1,194.31 and 550.68

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Solution

The fourth proportional to 864.83, 1,194.31 and 550.68 is: 760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.83 : 1,194.31 = 550.68 : x
  2. Step 2: Convert to fraction form
    864.83/1,194.31 = 550.68/x
  3. Step 3: Cross multiply
    864.83x = 1,194.31 × 550.68
  4. Step 4: Simplify right side
    864.83x = 657,681.25
  5. Step 5: Solve for x
    x = 657,681.25/864.83
  6. Step 6: Final answer
    x = 760.48

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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.