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Finding the Fourth Proportional to 783.70, 1,175.66 and 263.48

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Solution

The fourth proportional to 783.70, 1,175.66 and 263.48 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.70 : 1,175.66 = 263.48 : x
  2. Step 2: Convert to fraction form
    783.70/1,175.66 = 263.48/x
  3. Step 3: Cross multiply
    783.70x = 1,175.66 × 263.48
  4. Step 4: Simplify right side
    783.70x = 309,761.58
  5. Step 5: Solve for x
    x = 309,761.58/783.70
  6. Step 6: Final answer
    x = 395.25

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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.