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Finding the Fourth Proportional to 672.83, 1,009.23 and 581.24

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Solution

The fourth proportional to 672.83, 1,009.23 and 581.24 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.83 : 1,009.23 = 581.24 : x
  2. Step 2: Convert to fraction form
    672.83/1,009.23 = 581.24/x
  3. Step 3: Cross multiply
    672.83x = 1,009.23 × 581.24
  4. Step 4: Simplify right side
    672.83x = 586,599.80
  5. Step 5: Solve for x
    x = 586,599.80/672.83
  6. Step 6: Final answer
    x = 871.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.