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Finding the Fourth Proportional to 873.10, 1,204.82 and 480.14

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Solution

The fourth proportional to 873.10, 1,204.82 and 480.14 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.10 : 1,204.82 = 480.14 : x
  2. Step 2: Convert to fraction form
    873.10/1,204.82 = 480.14/x
  3. Step 3: Cross multiply
    873.10x = 1,204.82 × 480.14
  4. Step 4: Simplify right side
    873.10x = 578,476.25
  5. Step 5: Solve for x
    x = 578,476.25/873.10
  6. Step 6: Final answer
    x = 662.56

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Why These Related Problems?

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