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Finding the Fourth Proportional to 1,093.70, 1,640.16 and 477.23

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Solution

The fourth proportional to 1,093.70, 1,640.16 and 477.23 is: 715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.70 : 1,640.16 = 477.23 : x
  2. Step 2: Convert to fraction form
    1,093.70/1,640.16 = 477.23/x
  3. Step 3: Cross multiply
    1,093.70x = 1,640.16 × 477.23
  4. Step 4: Simplify right side
    1,093.70x = 782,725.36
  5. Step 5: Solve for x
    x = 782,725.36/1,093.70
  6. Step 6: Final answer
    x = 715.67

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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.