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Finding the Fourth Proportional to 681.84, 1,023.03 and 596.16

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Solution

The fourth proportional to 681.84, 1,023.03 and 596.16 is: 894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,023.03 = 596.16 : x
  2. Step 2: Convert to fraction form
    681.84/1,023.03 = 596.16/x
  3. Step 3: Cross multiply
    681.84x = 1,023.03 × 596.16
  4. Step 4: Simplify right side
    681.84x = 609,889.56
  5. Step 5: Solve for x
    x = 609,889.56/681.84
  6. Step 6: Final answer
    x = 894.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.