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Finding the Fourth Proportional to 818.93, 1,227.48 and 656.28

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Solution

The fourth proportional to 818.93, 1,227.48 and 656.28 is: 983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.93 : 1,227.48 = 656.28 : x
  2. Step 2: Convert to fraction form
    818.93/1,227.48 = 656.28/x
  3. Step 3: Cross multiply
    818.93x = 1,227.48 × 656.28
  4. Step 4: Simplify right side
    818.93x = 805,570.57
  5. Step 5: Solve for x
    x = 805,570.57/818.93
  6. Step 6: Final answer
    x = 983.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.