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Finding the Fourth Proportional to 1,093.68, 1,641.24 and 477.36

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Solution

The fourth proportional to 1,093.68, 1,641.24 and 477.36 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.68 : 1,641.24 = 477.36 : x
  2. Step 2: Convert to fraction form
    1,093.68/1,641.24 = 477.36/x
  3. Step 3: Cross multiply
    1,093.68x = 1,641.24 × 477.36
  4. Step 4: Simplify right side
    1,093.68x = 783,462.33
  5. Step 5: Solve for x
    x = 783,462.33/1,093.68
  6. Step 6: Final answer
    x = 716.35

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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.