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Finding the Fourth Proportional to 784.49, 1,082.63 and 522.32

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Solution

The fourth proportional to 784.49, 1,082.63 and 522.32 is: 720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,082.63 = 522.32 : x
  2. Step 2: Convert to fraction form
    784.49/1,082.63 = 522.32/x
  3. Step 3: Cross multiply
    784.49x = 1,082.63 × 522.32
  4. Step 4: Simplify right side
    784.49x = 565,475.19
  5. Step 5: Solve for x
    x = 565,475.19/784.49
  6. Step 6: Final answer
    x = 720.82

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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.