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Finding the Fourth Proportional to 1,176.74, 1,623 and 733.82

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Solution

The fourth proportional to 1,176.74, 1,623 and 733.82 is: 1,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.74 : 1,623 = 733.82 : x
  2. Step 2: Convert to fraction form
    1,176.74/1,623 = 733.82/x
  3. Step 3: Cross multiply
    1,176.74x = 1,623 × 733.82
  4. Step 4: Simplify right side
    1,176.74x = 1,190,989.86
  5. Step 5: Solve for x
    x = 1,190,989.86/1,176.74
  6. Step 6: Final answer
    x = 1,012.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.