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Finding the Fourth Proportional to 1,497.96, 2,246.94 and 632.28

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Solution

The fourth proportional to 1,497.96, 2,246.94 and 632.28 is: 948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,246.94 = 632.28 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,246.94 = 632.28/x
  3. Step 3: Cross multiply
    1,497.96x = 2,246.94 × 632.28
  4. Step 4: Simplify right side
    1,497.96x = 1,420,695.22
  5. Step 5: Solve for x
    x = 1,420,695.22/1,497.96
  6. Step 6: Final answer
    x = 948.42

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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.