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Finding the Fourth Proportional to 890.34, 1,334.19 and 596.82

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Solution

The fourth proportional to 890.34, 1,334.19 and 596.82 is: 894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.34 : 1,334.19 = 596.82 : x
  2. Step 2: Convert to fraction form
    890.34/1,334.19 = 596.82/x
  3. Step 3: Cross multiply
    890.34x = 1,334.19 × 596.82
  4. Step 4: Simplify right side
    890.34x = 796,271.28
  5. Step 5: Solve for x
    x = 796,271.28/890.34
  6. Step 6: Final answer
    x = 894.35

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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.