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Finding the Fourth Proportional to 784.48, 1,082.88 and 522.84

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Solution

The fourth proportional to 784.48, 1,082.88 and 522.84 is: 721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.48 : 1,082.88 = 522.84 : x
  2. Step 2: Convert to fraction form
    784.48/1,082.88 = 522.84/x
  3. Step 3: Cross multiply
    784.48x = 1,082.88 × 522.84
  4. Step 4: Simplify right side
    784.48x = 566,172.98
  5. Step 5: Solve for x
    x = 566,172.98/784.48
  6. Step 6: Final answer
    x = 721.72

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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.