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Finding the Fourth Proportional to 783.30, 1,175.14 and 366.78

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Solution

The fourth proportional to 783.30, 1,175.14 and 366.78 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.30 : 1,175.14 = 366.78 : x
  2. Step 2: Convert to fraction form
    783.30/1,175.14 = 366.78/x
  3. Step 3: Cross multiply
    783.30x = 1,175.14 × 366.78
  4. Step 4: Simplify right side
    783.30x = 431,017.85
  5. Step 5: Solve for x
    x = 431,017.85/783.30
  6. Step 6: Final answer
    x = 550.26

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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.