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Finding the Fourth Proportional to 873.28, 1,205.16 and 480.30

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Solution

The fourth proportional to 873.28, 1,205.16 and 480.30 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,205.16 = 480.30 : x
  2. Step 2: Convert to fraction form
    873.28/1,205.16 = 480.30/x
  3. Step 3: Cross multiply
    873.28x = 1,205.16 × 480.30
  4. Step 4: Simplify right side
    873.28x = 578,838.35
  5. Step 5: Solve for x
    x = 578,838.35/873.28
  6. Step 6: Final answer
    x = 662.83

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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.