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Finding the Fourth Proportional to 1,093.59, 1,641.31 and 477.79

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Solution

The fourth proportional to 1,093.59, 1,641.31 and 477.79 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.59 : 1,641.31 = 477.79 : x
  2. Step 2: Convert to fraction form
    1,093.59/1,641.31 = 477.79/x
  3. Step 3: Cross multiply
    1,093.59x = 1,641.31 × 477.79
  4. Step 4: Simplify right side
    1,093.59x = 784,196.21
  5. Step 5: Solve for x
    x = 784,196.21/1,093.59
  6. Step 6: Final answer
    x = 717.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.