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Finding the Fourth Proportional to 883.11, 1,218.06 and 584.01

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Solution

The fourth proportional to 883.11, 1,218.06 and 584.01 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.11 : 1,218.06 = 584.01 : x
  2. Step 2: Convert to fraction form
    883.11/1,218.06 = 584.01/x
  3. Step 3: Cross multiply
    883.11x = 1,218.06 × 584.01
  4. Step 4: Simplify right side
    883.11x = 711,359.22
  5. Step 5: Solve for x
    x = 711,359.22/883.11
  6. Step 6: Final answer
    x = 805.52

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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.