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Finding the Fourth Proportional to 885.58, 1,217.10 and 688.75

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Solution

The fourth proportional to 885.58, 1,217.10 and 688.75 is: 946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.58 : 1,217.10 = 688.75 : x
  2. Step 2: Convert to fraction form
    885.58/1,217.10 = 688.75/x
  3. Step 3: Cross multiply
    885.58x = 1,217.10 × 688.75
  4. Step 4: Simplify right side
    885.58x = 838,268.10
  5. Step 5: Solve for x
    x = 838,268.10/885.58
  6. Step 6: Final answer
    x = 946.58

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