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Finding the Fourth Proportional to 873.12, 1,204.91 and 480.17

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Solution

The fourth proportional to 873.12, 1,204.91 and 480.17 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,204.91 = 480.17 : x
  2. Step 2: Convert to fraction form
    873.12/1,204.91 = 480.17/x
  3. Step 3: Cross multiply
    873.12x = 1,204.91 × 480.17
  4. Step 4: Simplify right side
    873.12x = 578,562.25
  5. Step 5: Solve for x
    x = 578,562.25/873.12
  6. Step 6: Final answer
    x = 662.64

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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.