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Finding the Fourth Proportional to 783.17, 1,173.77 and 344.15

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Solution

The fourth proportional to 783.17, 1,173.77 and 344.15 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,173.77 = 344.15 : x
  2. Step 2: Convert to fraction form
    783.17/1,173.77 = 344.15/x
  3. Step 3: Cross multiply
    783.17x = 1,173.77 × 344.15
  4. Step 4: Simplify right side
    783.17x = 403,952.95
  5. Step 5: Solve for x
    x = 403,952.95/783.17
  6. Step 6: Final answer
    x = 515.79

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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.