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Finding the Fourth Proportional to 883.61, 1,218.81 and 584.85

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Solution

The fourth proportional to 883.61, 1,218.81 and 584.85 is: 806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.61 : 1,218.81 = 584.85 : x
  2. Step 2: Convert to fraction form
    883.61/1,218.81 = 584.85/x
  3. Step 3: Cross multiply
    883.61x = 1,218.81 × 584.85
  4. Step 4: Simplify right side
    883.61x = 712,827.79
  5. Step 5: Solve for x
    x = 712,827.79/883.61
  6. Step 6: Final answer
    x = 806.72

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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.