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Finding the Fourth Proportional to 784.66, 1,083.09 and 522.64

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Solution

The fourth proportional to 784.66, 1,083.09 and 522.64 is: 721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.66 : 1,083.09 = 522.64 : x
  2. Step 2: Convert to fraction form
    784.66/1,083.09 = 522.64/x
  3. Step 3: Cross multiply
    784.66x = 1,083.09 × 522.64
  4. Step 4: Simplify right side
    784.66x = 566,066.16
  5. Step 5: Solve for x
    x = 566,066.16/784.66
  6. Step 6: Final answer
    x = 721.42

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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.