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Finding the Fourth Proportional to 762.20, 1,142.82 and 586.58

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Solution

The fourth proportional to 762.20, 1,142.82 and 586.58 is: 879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.20 : 1,142.82 = 586.58 : x
  2. Step 2: Convert to fraction form
    762.20/1,142.82 = 586.58/x
  3. Step 3: Cross multiply
    762.20x = 1,142.82 × 586.58
  4. Step 4: Simplify right side
    762.20x = 670,355.36
  5. Step 5: Solve for x
    x = 670,355.36/762.20
  6. Step 6: Final answer
    x = 879.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.