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Finding the Fourth Proportional to 883.27, 1,322.93 and 686.75

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Solution

The fourth proportional to 883.27, 1,322.93 and 686.75 is: 1,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.27 : 1,322.93 = 686.75 : x
  2. Step 2: Convert to fraction form
    883.27/1,322.93 = 686.75/x
  3. Step 3: Cross multiply
    883.27x = 1,322.93 × 686.75
  4. Step 4: Simplify right side
    883.27x = 908,527.20
  5. Step 5: Solve for x
    x = 908,527.20/883.27
  6. Step 6: Final answer
    x = 1,028.60

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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.