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Finding the Fourth Proportional to 732.11, 1,009.85 and 584.69

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Solution

The fourth proportional to 732.11, 1,009.85 and 584.69 is: 806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.11 : 1,009.85 = 584.69 : x
  2. Step 2: Convert to fraction form
    732.11/1,009.85 = 584.69/x
  3. Step 3: Cross multiply
    732.11x = 1,009.85 × 584.69
  4. Step 4: Simplify right side
    732.11x = 590,441.22
  5. Step 5: Solve for x
    x = 590,441.22/732.11
  6. Step 6: Final answer
    x = 806.50

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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.