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Finding the Fourth Proportional to 883.94, 1,322.67 and 862.34

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Solution

The fourth proportional to 883.94, 1,322.67 and 862.34 is: 1,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.94 : 1,322.67 = 862.34 : x
  2. Step 2: Convert to fraction form
    883.94/1,322.67 = 862.34/x
  3. Step 3: Cross multiply
    883.94x = 1,322.67 × 862.34
  4. Step 4: Simplify right side
    883.94x = 1,140,591.25
  5. Step 5: Solve for x
    x = 1,140,591.25/883.94
  6. Step 6: Final answer
    x = 1,290.35

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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.