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Finding the Fourth Proportional to 732.89, 1,011.34 and 418.21

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Solution

The fourth proportional to 732.89, 1,011.34 and 418.21 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.89 : 1,011.34 = 418.21 : x
  2. Step 2: Convert to fraction form
    732.89/1,011.34 = 418.21/x
  3. Step 3: Cross multiply
    732.89x = 1,011.34 × 418.21
  4. Step 4: Simplify right side
    732.89x = 422,952.50
  5. Step 5: Solve for x
    x = 422,952.50/732.89
  6. Step 6: Final answer
    x = 577.10

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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.