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Finding the Fourth Proportional to 784.02, 1,082.25 and 521.94

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Solution

The fourth proportional to 784.02, 1,082.25 and 521.94 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,082.25 = 521.94 : x
  2. Step 2: Convert to fraction form
    784.02/1,082.25 = 521.94/x
  3. Step 3: Cross multiply
    784.02x = 1,082.25 × 521.94
  4. Step 4: Simplify right side
    784.02x = 564,869.57
  5. Step 5: Solve for x
    x = 564,869.57/784.02
  6. Step 6: Final answer
    x = 720.48

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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.