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Finding the Fourth Proportional to 1,496.94, 2,245.71 and 631.25

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Solution

The fourth proportional to 1,496.94, 2,245.71 and 631.25 is: 947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.94 : 2,245.71 = 631.25 : x
  2. Step 2: Convert to fraction form
    1,496.94/2,245.71 = 631.25/x
  3. Step 3: Cross multiply
    1,496.94x = 2,245.71 × 631.25
  4. Step 4: Simplify right side
    1,496.94x = 1,417,604.44
  5. Step 5: Solve for x
    x = 1,417,604.44/1,496.94
  6. Step 6: Final answer
    x = 947.00

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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.