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Finding the Fourth Proportional to 886.40, 1,322.32 and 886.40

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Solution

The fourth proportional to 886.40, 1,322.32 and 886.40 is: 1,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.40 : 1,322.32 = 886.40 : x
  2. Step 2: Convert to fraction form
    886.40/1,322.32 = 886.40/x
  3. Step 3: Cross multiply
    886.40x = 1,322.32 × 886.40
  4. Step 4: Simplify right side
    886.40x = 1,172,104.45
  5. Step 5: Solve for x
    x = 1,172,104.45/886.40
  6. Step 6: Final answer
    x = 1,322.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.