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Finding the Fourth Proportional to 783.98, 1,079.42 and 596.87

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Solution

The fourth proportional to 783.98, 1,079.42 and 596.87 is: 821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.98 : 1,079.42 = 596.87 : x
  2. Step 2: Convert to fraction form
    783.98/1,079.42 = 596.87/x
  3. Step 3: Cross multiply
    783.98x = 1,079.42 × 596.87
  4. Step 4: Simplify right side
    783.98x = 644,273.42
  5. Step 5: Solve for x
    x = 644,273.42/783.98
  6. Step 6: Final answer
    x = 821.80

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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.