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Finding the Fourth Proportional to 936.68, 1,284.55 and 925.88

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Solution

The fourth proportional to 936.68, 1,284.55 and 925.88 is: 1,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.68 : 1,284.55 = 925.88 : x
  2. Step 2: Convert to fraction form
    936.68/1,284.55 = 925.88/x
  3. Step 3: Cross multiply
    936.68x = 1,284.55 × 925.88
  4. Step 4: Simplify right side
    936.68x = 1,189,330.42
  5. Step 5: Solve for x
    x = 1,189,330.42/936.68
  6. Step 6: Final answer
    x = 1,269.74

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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.