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Finding the Fourth Proportional to 732.24, 1,009.26 and 483.44

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Solution

The fourth proportional to 732.24, 1,009.26 and 483.44 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.24 : 1,009.26 = 483.44 : x
  2. Step 2: Convert to fraction form
    732.24/1,009.26 = 483.44/x
  3. Step 3: Cross multiply
    732.24x = 1,009.26 × 483.44
  4. Step 4: Simplify right side
    732.24x = 487,911.61
  5. Step 5: Solve for x
    x = 487,911.61/732.24
  6. Step 6: Final answer
    x = 666.33

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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.