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Finding the Fourth Proportional to 1,108.32, 1,662.96 and 424.80

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Solution

The fourth proportional to 1,108.32, 1,662.96 and 424.80 is: 637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.32 : 1,662.96 = 424.80 : x
  2. Step 2: Convert to fraction form
    1,108.32/1,662.96 = 424.80/x
  3. Step 3: Cross multiply
    1,108.32x = 1,662.96 × 424.80
  4. Step 4: Simplify right side
    1,108.32x = 706,425.41
  5. Step 5: Solve for x
    x = 706,425.41/1,108.32
  6. Step 6: Final answer
    x = 637.38

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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.