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Finding the Fourth Proportional to 783.17, 1,174.74 and 263.18

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Solution

The fourth proportional to 783.17, 1,174.74 and 263.18 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,174.74 = 263.18 : x
  2. Step 2: Convert to fraction form
    783.17/1,174.74 = 263.18/x
  3. Step 3: Cross multiply
    783.17x = 1,174.74 × 263.18
  4. Step 4: Simplify right side
    783.17x = 309,168.07
  5. Step 5: Solve for x
    x = 309,168.07/783.17
  6. Step 6: Final answer
    x = 394.76

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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.