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Finding the Fourth Proportional to 784.47, 1,082.64 and 452.91

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Solution

The fourth proportional to 784.47, 1,082.64 and 452.91 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.47 : 1,082.64 = 452.91 : x
  2. Step 2: Convert to fraction form
    784.47/1,082.64 = 452.91/x
  3. Step 3: Cross multiply
    784.47x = 1,082.64 × 452.91
  4. Step 4: Simplify right side
    784.47x = 490,338.48
  5. Step 5: Solve for x
    x = 490,338.48/784.47
  6. Step 6: Final answer
    x = 625.06

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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.