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Finding the Fourth Proportional to 1,101.88, 1,649.31 and 613.45

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Solution

The fourth proportional to 1,101.88, 1,649.31 and 613.45 is: 918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.88 : 1,649.31 = 613.45 : x
  2. Step 2: Convert to fraction form
    1,101.88/1,649.31 = 613.45/x
  3. Step 3: Cross multiply
    1,101.88x = 1,649.31 × 613.45
  4. Step 4: Simplify right side
    1,101.88x = 1,011,769.22
  5. Step 5: Solve for x
    x = 1,011,769.22/1,101.88
  6. Step 6: Final answer
    x = 918.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.