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Finding the Fourth Proportional to 762.11, 1,048.57 and 596.03

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Solution

The fourth proportional to 762.11, 1,048.57 and 596.03 is: 820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.11 : 1,048.57 = 596.03 : x
  2. Step 2: Convert to fraction form
    762.11/1,048.57 = 596.03/x
  3. Step 3: Cross multiply
    762.11x = 1,048.57 × 596.03
  4. Step 4: Simplify right side
    762.11x = 624,979.18
  5. Step 5: Solve for x
    x = 624,979.18/762.11
  6. Step 6: Final answer
    x = 820.06

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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.