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Finding the Fourth Proportional to 873.93, 1,206 and 480.96

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Solution

The fourth proportional to 873.93, 1,206 and 480.96 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.93 : 1,206 = 480.96 : x
  2. Step 2: Convert to fraction form
    873.93/1,206 = 480.96/x
  3. Step 3: Cross multiply
    873.93x = 1,206 × 480.96
  4. Step 4: Simplify right side
    873.93x = 580,037.76
  5. Step 5: Solve for x
    x = 580,037.76/873.93
  6. Step 6: Final answer
    x = 663.71

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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.