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Finding the Fourth Proportional to 1,463.59, 2,194.03 and 586.68

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Solution

The fourth proportional to 1,463.59, 2,194.03 and 586.68 is: 879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.59 : 2,194.03 = 586.68 : x
  2. Step 2: Convert to fraction form
    1,463.59/2,194.03 = 586.68/x
  3. Step 3: Cross multiply
    1,463.59x = 2,194.03 × 586.68
  4. Step 4: Simplify right side
    1,463.59x = 1,287,193.52
  5. Step 5: Solve for x
    x = 1,287,193.52/1,463.59
  6. Step 6: Final answer
    x = 879.48

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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.