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Finding the Fourth Proportional to 1,216.19, 1,825.31 and 631.55

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Solution

The fourth proportional to 1,216.19, 1,825.31 and 631.55 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.19 : 1,825.31 = 631.55 : x
  2. Step 2: Convert to fraction form
    1,216.19/1,825.31 = 631.55/x
  3. Step 3: Cross multiply
    1,216.19x = 1,825.31 × 631.55
  4. Step 4: Simplify right side
    1,216.19x = 1,152,777.51
  5. Step 5: Solve for x
    x = 1,152,777.51/1,216.19
  6. Step 6: Final answer
    x = 947.86

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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.