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Finding the Fourth Proportional to 1,094.52, 1,642.26 and 478.38

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Solution

The fourth proportional to 1,094.52, 1,642.26 and 478.38 is: 717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,642.26 = 478.38 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,642.26 = 478.38/x
  3. Step 3: Cross multiply
    1,094.52x = 1,642.26 × 478.38
  4. Step 4: Simplify right side
    1,094.52x = 785,624.34
  5. Step 5: Solve for x
    x = 785,624.34/1,094.52
  6. Step 6: Final answer
    x = 717.78

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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.