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Finding the Fourth Proportional to 935.38, 1,401.63 and 690.76

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Solution

The fourth proportional to 935.38, 1,401.63 and 690.76 is: 1,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.38 : 1,401.63 = 690.76 : x
  2. Step 2: Convert to fraction form
    935.38/1,401.63 = 690.76/x
  3. Step 3: Cross multiply
    935.38x = 1,401.63 × 690.76
  4. Step 4: Simplify right side
    935.38x = 968,189.94
  5. Step 5: Solve for x
    x = 968,189.94/935.38
  6. Step 6: Final answer
    x = 1,035.08

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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.