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Finding the Fourth Proportional to 687.88, 946.44 and 604.85

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Solution

The fourth proportional to 687.88, 946.44 and 604.85 is: 832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 946.44 = 604.85 : x
  2. Step 2: Convert to fraction form
    687.88/946.44 = 604.85/x
  3. Step 3: Cross multiply
    687.88x = 946.44 × 604.85
  4. Step 4: Simplify right side
    687.88x = 572,449.50
  5. Step 5: Solve for x
    x = 572,449.50/687.88
  6. Step 6: Final answer
    x = 832.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.