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Finding the Fourth Proportional to 1,094.44, 1,635.24 and 1,056.16

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Solution

The fourth proportional to 1,094.44, 1,635.24 and 1,056.16 is: 1,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.44 : 1,635.24 = 1,056.16 : x
  2. Step 2: Convert to fraction form
    1,094.44/1,635.24 = 1,056.16/x
  3. Step 3: Cross multiply
    1,094.44x = 1,635.24 × 1,056.16
  4. Step 4: Simplify right side
    1,094.44x = 1,727,069.54
  5. Step 5: Solve for x
    x = 1,727,069.54/1,094.44
  6. Step 6: Final answer
    x = 1,578.05

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Why These Related Problems?

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