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Finding the Fourth Proportional to 783.04, 1,174.77 and 263.17

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Solution

The fourth proportional to 783.04, 1,174.77 and 263.17 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,174.77 = 263.17 : x
  2. Step 2: Convert to fraction form
    783.04/1,174.77 = 263.17/x
  3. Step 3: Cross multiply
    783.04x = 1,174.77 × 263.17
  4. Step 4: Simplify right side
    783.04x = 309,164.22
  5. Step 5: Solve for x
    x = 309,164.22/783.04
  6. Step 6: Final answer
    x = 394.83

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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.