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Finding the Fourth Proportional to 1,094.52, 1,639.68 and 607.92

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Solution

The fourth proportional to 1,094.52, 1,639.68 and 607.92 is: 910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,639.68 = 607.92 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,639.68 = 607.92/x
  3. Step 3: Cross multiply
    1,094.52x = 1,639.68 × 607.92
  4. Step 4: Simplify right side
    1,094.52x = 996,794.27
  5. Step 5: Solve for x
    x = 996,794.27/1,094.52
  6. Step 6: Final answer
    x = 910.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.