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Finding the Fourth Proportional to 885.60, 1,214.32 and 854.68

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Solution

The fourth proportional to 885.60, 1,214.32 and 854.68 is: 1,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.60 : 1,214.32 = 854.68 : x
  2. Step 2: Convert to fraction form
    885.60/1,214.32 = 854.68/x
  3. Step 3: Cross multiply
    885.60x = 1,214.32 × 854.68
  4. Step 4: Simplify right side
    885.60x = 1,037,855.02
  5. Step 5: Solve for x
    x = 1,037,855.02/885.60
  6. Step 6: Final answer
    x = 1,171.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.