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Finding the Fourth Proportional to 1,463.49, 2,195.45 and 586

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Solution

The fourth proportional to 1,463.49, 2,195.45 and 586 is: 879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.49 : 2,195.45 = 586 : x
  2. Step 2: Convert to fraction form
    1,463.49/2,195.45 = 586/x
  3. Step 3: Cross multiply
    1,463.49x = 2,195.45 × 586
  4. Step 4: Simplify right side
    1,463.49x = 1,286,533.70
  5. Step 5: Solve for x
    x = 1,286,533.70/1,463.49
  6. Step 6: Final answer
    x = 879.09

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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.