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Finding the Fourth Proportional to 811.84, 1,120.14 and 480.24

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Solution

The fourth proportional to 811.84, 1,120.14 and 480.24 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.84 : 1,120.14 = 480.24 : x
  2. Step 2: Convert to fraction form
    811.84/1,120.14 = 480.24/x
  3. Step 3: Cross multiply
    811.84x = 1,120.14 × 480.24
  4. Step 4: Simplify right side
    811.84x = 537,936.03
  5. Step 5: Solve for x
    x = 537,936.03/811.84
  6. Step 6: Final answer
    x = 662.61

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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.