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Finding the Fourth Proportional to 873.37, 1,205.17 and 480.30

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Solution

The fourth proportional to 873.37, 1,205.17 and 480.30 is: 662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.37 : 1,205.17 = 480.30 : x
  2. Step 2: Convert to fraction form
    873.37/1,205.17 = 480.30/x
  3. Step 3: Cross multiply
    873.37x = 1,205.17 × 480.30
  4. Step 4: Simplify right side
    873.37x = 578,843.15
  5. Step 5: Solve for x
    x = 578,843.15/873.37
  6. Step 6: Final answer
    x = 662.77

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Double scale
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1.5x scale

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.