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Finding the Fourth Proportional to 1,335.24, 2,000.19 and 631.47

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Solution

The fourth proportional to 1,335.24, 2,000.19 and 631.47 is: 945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.24 : 2,000.19 = 631.47 : x
  2. Step 2: Convert to fraction form
    1,335.24/2,000.19 = 631.47/x
  3. Step 3: Cross multiply
    1,335.24x = 2,000.19 × 631.47
  4. Step 4: Simplify right side
    1,335.24x = 1,263,059.98
  5. Step 5: Solve for x
    x = 1,263,059.98/1,335.24
  6. Step 6: Final answer
    x = 945.94

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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.