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Finding the Fourth Proportional to 690.88, 1,035.16 and 447.16

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Solution

The fourth proportional to 690.88, 1,035.16 and 447.16 is: 669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 1,035.16 = 447.16 : x
  2. Step 2: Convert to fraction form
    690.88/1,035.16 = 447.16/x
  3. Step 3: Cross multiply
    690.88x = 1,035.16 × 447.16
  4. Step 4: Simplify right side
    690.88x = 462,882.15
  5. Step 5: Solve for x
    x = 462,882.15/690.88
  6. Step 6: Final answer
    x = 669.99

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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.