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Finding the Fourth Proportional to 732.83, 1,011.29 and 401.24

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Solution

The fourth proportional to 732.83, 1,011.29 and 401.24 is: 553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.83 : 1,011.29 = 401.24 : x
  2. Step 2: Convert to fraction form
    732.83/1,011.29 = 401.24/x
  3. Step 3: Cross multiply
    732.83x = 1,011.29 × 401.24
  4. Step 4: Simplify right side
    732.83x = 405,762.94
  5. Step 5: Solve for x
    x = 405,762.94/732.83
  6. Step 6: Final answer
    x = 553.70

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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.