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Finding the Fourth Proportional to 1,101.40, 1,649.70 and 552.62

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Solution

The fourth proportional to 1,101.40, 1,649.70 and 552.62 is: 827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.40 : 1,649.70 = 552.62 : x
  2. Step 2: Convert to fraction form
    1,101.40/1,649.70 = 552.62/x
  3. Step 3: Cross multiply
    1,101.40x = 1,649.70 × 552.62
  4. Step 4: Simplify right side
    1,101.40x = 911,661.34
  5. Step 5: Solve for x
    x = 911,661.34/1,101.40
  6. Step 6: Final answer
    x = 827.73

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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.