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Finding the Fourth Proportional to 1,093.46, 1,640.82 and 477.02

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Solution

The fourth proportional to 1,093.46, 1,640.82 and 477.02 is: 715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.46 : 1,640.82 = 477.02 : x
  2. Step 2: Convert to fraction form
    1,093.46/1,640.82 = 477.02/x
  3. Step 3: Cross multiply
    1,093.46x = 1,640.82 × 477.02
  4. Step 4: Simplify right side
    1,093.46x = 782,703.96
  5. Step 5: Solve for x
    x = 782,703.96/1,093.46
  6. Step 6: Final answer
    x = 715.80

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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.