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Finding the Fourth Proportional to 784.50, 1,082.61 and 552.12

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Solution

The fourth proportional to 784.50, 1,082.61 and 552.12 is: 761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.50 : 1,082.61 = 552.12 : x
  2. Step 2: Convert to fraction form
    784.50/1,082.61 = 552.12/x
  3. Step 3: Cross multiply
    784.50x = 1,082.61 × 552.12
  4. Step 4: Simplify right side
    784.50x = 597,730.63
  5. Step 5: Solve for x
    x = 597,730.63/784.50
  6. Step 6: Final answer
    x = 761.93

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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.