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Finding the Fourth Proportional to 1,094.05, 1,509.84 and 844.96

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Solution

The fourth proportional to 1,094.05, 1,509.84 and 844.96 is: 1,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.05 : 1,509.84 = 844.96 : x
  2. Step 2: Convert to fraction form
    1,094.05/1,509.84 = 844.96/x
  3. Step 3: Cross multiply
    1,094.05x = 1,509.84 × 844.96
  4. Step 4: Simplify right side
    1,094.05x = 1,275,754.41
  5. Step 5: Solve for x
    x = 1,275,754.41/1,094.05
  6. Step 6: Final answer
    x = 1,166.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.