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Finding the Fourth Proportional to 687.99, 1,026.52 and 596.87

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Solution

The fourth proportional to 687.99, 1,026.52 and 596.87 is: 890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.99 : 1,026.52 = 596.87 : x
  2. Step 2: Convert to fraction form
    687.99/1,026.52 = 596.87/x
  3. Step 3: Cross multiply
    687.99x = 1,026.52 × 596.87
  4. Step 4: Simplify right side
    687.99x = 612,699.57
  5. Step 5: Solve for x
    x = 612,699.57/687.99
  6. Step 6: Final answer
    x = 890.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.