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Finding the Fourth Proportional to 826.72, 1,141.01 and 472.66

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Solution

The fourth proportional to 826.72, 1,141.01 and 472.66 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.72 : 1,141.01 = 472.66 : x
  2. Step 2: Convert to fraction form
    826.72/1,141.01 = 472.66/x
  3. Step 3: Cross multiply
    826.72x = 1,141.01 × 472.66
  4. Step 4: Simplify right side
    826.72x = 539,309.79
  5. Step 5: Solve for x
    x = 539,309.79/826.72
  6. Step 6: Final answer
    x = 652.35

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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.