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Finding the Fourth Proportional to 1,093.57, 1,640.39 and 476.96

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Solution

The fourth proportional to 1,093.57, 1,640.39 and 476.96 is: 715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.57 : 1,640.39 = 476.96 : x
  2. Step 2: Convert to fraction form
    1,093.57/1,640.39 = 476.96/x
  3. Step 3: Cross multiply
    1,093.57x = 1,640.39 × 476.96
  4. Step 4: Simplify right side
    1,093.57x = 782,389.83
  5. Step 5: Solve for x
    x = 782,389.83/1,093.57
  6. Step 6: Final answer
    x = 715.45

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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.