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Finding the Fourth Proportional to 783.72, 1,178.11 and 631.35

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Solution

The fourth proportional to 783.72, 1,178.11 and 631.35 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.72 : 1,178.11 = 631.35 : x
  2. Step 2: Convert to fraction form
    783.72/1,178.11 = 631.35/x
  3. Step 3: Cross multiply
    783.72x = 1,178.11 × 631.35
  4. Step 4: Simplify right side
    783.72x = 743,799.75
  5. Step 5: Solve for x
    x = 743,799.75/783.72
  6. Step 6: Final answer
    x = 949.06

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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.