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Finding the Fourth Proportional to 783.69, 1,175.55 and 736.17

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Solution

The fourth proportional to 783.69, 1,175.55 and 736.17 is: 1,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,175.55 = 736.17 : x
  2. Step 2: Convert to fraction form
    783.69/1,175.55 = 736.17/x
  3. Step 3: Cross multiply
    783.69x = 1,175.55 × 736.17
  4. Step 4: Simplify right side
    783.69x = 865,404.64
  5. Step 5: Solve for x
    x = 865,404.64/783.69
  6. Step 6: Final answer
    x = 1,104.27

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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.