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Finding the Fourth Proportional to 1,094.52, 1,509.45 and 845.46

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Solution

The fourth proportional to 1,094.52, 1,509.45 and 845.46 is: 1,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,509.45 = 845.46 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,509.45 = 845.46/x
  3. Step 3: Cross multiply
    1,094.52x = 1,509.45 × 845.46
  4. Step 4: Simplify right side
    1,094.52x = 1,276,179.60
  5. Step 5: Solve for x
    x = 1,276,179.60/1,094.52
  6. Step 6: Final answer
    x = 1,165.97

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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.