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Finding the Fourth Proportional to 1,498.09, 2,247.17 and 632.41

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Solution

The fourth proportional to 1,498.09, 2,247.17 and 632.41 is: 948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.09 : 2,247.17 = 632.41 : x
  2. Step 2: Convert to fraction form
    1,498.09/2,247.17 = 632.41/x
  3. Step 3: Cross multiply
    1,498.09x = 2,247.17 × 632.41
  4. Step 4: Simplify right side
    1,498.09x = 1,421,132.78
  5. Step 5: Solve for x
    x = 1,421,132.78/1,498.09
  6. Step 6: Final answer
    x = 948.63

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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.