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Finding the Fourth Proportional to 1,221.02, 1,685.04 and 723.77

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Solution

The fourth proportional to 1,221.02, 1,685.04 and 723.77 is: 998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.02 : 1,685.04 = 723.77 : x
  2. Step 2: Convert to fraction form
    1,221.02/1,685.04 = 723.77/x
  3. Step 3: Cross multiply
    1,221.02x = 1,685.04 × 723.77
  4. Step 4: Simplify right side
    1,221.02x = 1,219,581.40
  5. Step 5: Solve for x
    x = 1,219,581.40/1,221.02
  6. Step 6: Final answer
    x = 998.82

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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.