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Finding the Fourth Proportional to 783.52, 1,082.16 and 721.12

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Solution

The fourth proportional to 783.52, 1,082.16 and 721.12 is: 995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.52 : 1,082.16 = 721.12 : x
  2. Step 2: Convert to fraction form
    783.52/1,082.16 = 721.12/x
  3. Step 3: Cross multiply
    783.52x = 1,082.16 × 721.12
  4. Step 4: Simplify right side
    783.52x = 780,367.22
  5. Step 5: Solve for x
    x = 780,367.22/783.52
  6. Step 6: Final answer
    x = 995.98

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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.