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Finding the Fourth Proportional to 783.07, 1,082.06 and 521.44

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Solution

The fourth proportional to 783.07, 1,082.06 and 521.44 is: 720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.07 : 1,082.06 = 521.44 : x
  2. Step 2: Convert to fraction form
    783.07/1,082.06 = 521.44/x
  3. Step 3: Cross multiply
    783.07x = 1,082.06 × 521.44
  4. Step 4: Simplify right side
    783.07x = 564,226.01
  5. Step 5: Solve for x
    x = 564,226.01/783.07
  6. Step 6: Final answer
    x = 720.53

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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.