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Finding the Fourth Proportional to 1,173.15, 1,618.77 and 649.19

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Solution

The fourth proportional to 1,173.15, 1,618.77 and 649.19 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.15 : 1,618.77 = 649.19 : x
  2. Step 2: Convert to fraction form
    1,173.15/1,618.77 = 649.19/x
  3. Step 3: Cross multiply
    1,173.15x = 1,618.77 × 649.19
  4. Step 4: Simplify right side
    1,173.15x = 1,050,889.30
  5. Step 5: Solve for x
    x = 1,050,889.30/1,173.15
  6. Step 6: Final answer
    x = 895.78

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