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Finding the Fourth Proportional to 1,232.18, 1,847.76 and 501.26

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Solution

The fourth proportional to 1,232.18, 1,847.76 and 501.26 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.18 : 1,847.76 = 501.26 : x
  2. Step 2: Convert to fraction form
    1,232.18/1,847.76 = 501.26/x
  3. Step 3: Cross multiply
    1,232.18x = 1,847.76 × 501.26
  4. Step 4: Simplify right side
    1,232.18x = 926,208.18
  5. Step 5: Solve for x
    x = 926,208.18/1,232.18
  6. Step 6: Final answer
    x = 751.68

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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.