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Finding the Fourth Proportional to 935.38, 1,403.07 and 853.57

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Solution

The fourth proportional to 935.38, 1,403.07 and 853.57 is: 1,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.38 : 1,403.07 = 853.57 : x
  2. Step 2: Convert to fraction form
    935.38/1,403.07 = 853.57/x
  3. Step 3: Cross multiply
    935.38x = 1,403.07 × 853.57
  4. Step 4: Simplify right side
    935.38x = 1,197,618.46
  5. Step 5: Solve for x
    x = 1,197,618.46/935.38
  6. Step 6: Final answer
    x = 1,280.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.