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Finding the Fourth Proportional to 762.86, 1,052.23 and 541.42

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Solution

The fourth proportional to 762.86, 1,052.23 and 541.42 is: 746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.86 : 1,052.23 = 541.42 : x
  2. Step 2: Convert to fraction form
    762.86/1,052.23 = 541.42/x
  3. Step 3: Cross multiply
    762.86x = 1,052.23 × 541.42
  4. Step 4: Simplify right side
    762.86x = 569,698.37
  5. Step 5: Solve for x
    x = 569,698.37/762.86
  6. Step 6: Final answer
    x = 746.79

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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.