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Finding the Fourth Proportional to 1,173.94, 1,620.06 and 649.96

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Solution

The fourth proportional to 1,173.94, 1,620.06 and 649.96 is: 896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.94 : 1,620.06 = 649.96 : x
  2. Step 2: Convert to fraction form
    1,173.94/1,620.06 = 649.96/x
  3. Step 3: Cross multiply
    1,173.94x = 1,620.06 × 649.96
  4. Step 4: Simplify right side
    1,173.94x = 1,052,967.71
  5. Step 5: Solve for x
    x = 1,052,967.71/1,173.94
  6. Step 6: Final answer
    x = 896.95

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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.