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Finding the Fourth Proportional to 1,094.69, 1,635.62 and 1,056.41

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Solution

The fourth proportional to 1,094.69, 1,635.62 and 1,056.41 is: 1,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.69 : 1,635.62 = 1,056.41 : x
  2. Step 2: Convert to fraction form
    1,094.69/1,635.62 = 1,056.41/x
  3. Step 3: Cross multiply
    1,094.69x = 1,635.62 × 1,056.41
  4. Step 4: Simplify right side
    1,094.69x = 1,727,871.86
  5. Step 5: Solve for x
    x = 1,727,871.86/1,094.69
  6. Step 6: Final answer
    x = 1,578.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.