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Finding the Fourth Proportional to 783.11, 1,170.17 and 596.99

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Solution

The fourth proportional to 783.11, 1,170.17 and 596.99 is: 892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,170.17 = 596.99 : x
  2. Step 2: Convert to fraction form
    783.11/1,170.17 = 596.99/x
  3. Step 3: Cross multiply
    783.11x = 1,170.17 × 596.99
  4. Step 4: Simplify right side
    783.11x = 698,570.95
  5. Step 5: Solve for x
    x = 698,570.95/783.11
  6. Step 6: Final answer
    x = 892.05

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Why These Related Problems?

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