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Finding the Fourth Proportional to 1,174.72, 1,762.69 and 558.31

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Solution

The fourth proportional to 1,174.72, 1,762.69 and 558.31 is: 837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.72 : 1,762.69 = 558.31 : x
  2. Step 2: Convert to fraction form
    1,174.72/1,762.69 = 558.31/x
  3. Step 3: Cross multiply
    1,174.72x = 1,762.69 × 558.31
  4. Step 4: Simplify right side
    1,174.72x = 984,124.43
  5. Step 5: Solve for x
    x = 984,124.43/1,174.72
  6. Step 6: Final answer
    x = 837.75

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