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Finding the Fourth Proportional to 1,094.67, 1,640.74 and 478.23

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Solution

The fourth proportional to 1,094.67, 1,640.74 and 478.23 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.67 : 1,640.74 = 478.23 : x
  2. Step 2: Convert to fraction form
    1,094.67/1,640.74 = 478.23/x
  3. Step 3: Cross multiply
    1,094.67x = 1,640.74 × 478.23
  4. Step 4: Simplify right side
    1,094.67x = 784,641.69
  5. Step 5: Solve for x
    x = 784,641.69/1,094.67
  6. Step 6: Final answer
    x = 716.79

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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.