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Finding the Fourth Proportional to 687.48, 946.29 and 600

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Solution

The fourth proportional to 687.48, 946.29 and 600 is: 825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.48 : 946.29 = 600 : x
  2. Step 2: Convert to fraction form
    687.48/946.29 = 600/x
  3. Step 3: Cross multiply
    687.48x = 946.29 × 600
  4. Step 4: Simplify right side
    687.48x = 567,774
  5. Step 5: Solve for x
    x = 567,774/687.48
  6. Step 6: Final answer
    x = 825.88

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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.