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Finding the Fourth Proportional to 690.24, 1,035.52 and 401.84

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Solution

The fourth proportional to 690.24, 1,035.52 and 401.84 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 1,035.52 = 401.84 : x
  2. Step 2: Convert to fraction form
    690.24/1,035.52 = 401.84/x
  3. Step 3: Cross multiply
    690.24x = 1,035.52 × 401.84
  4. Step 4: Simplify right side
    690.24x = 416,113.36
  5. Step 5: Solve for x
    x = 416,113.36/690.24
  6. Step 6: Final answer
    x = 602.85

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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.