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Finding the Fourth Proportional to 673.20, 1,005.30 and 582.12

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Solution

The fourth proportional to 673.20, 1,005.30 and 582.12 is: 869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,005.30 = 582.12 : x
  2. Step 2: Convert to fraction form
    673.20/1,005.30 = 582.12/x
  3. Step 3: Cross multiply
    673.20x = 1,005.30 × 582.12
  4. Step 4: Simplify right side
    673.20x = 585,205.24
  5. Step 5: Solve for x
    x = 585,205.24/673.20
  6. Step 6: Final answer
    x = 869.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.