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Finding the Fourth Proportional to 721.89, 1,082.55 and 283.08

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Solution

The fourth proportional to 721.89, 1,082.55 and 283.08 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 1,082.55 = 283.08 : x
  2. Step 2: Convert to fraction form
    721.89/1,082.55 = 283.08/x
  3. Step 3: Cross multiply
    721.89x = 1,082.55 × 283.08
  4. Step 4: Simplify right side
    721.89x = 306,448.25
  5. Step 5: Solve for x
    x = 306,448.25/721.89
  6. Step 6: Final answer
    x = 424.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.