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Finding the Fourth Proportional to 1,386.30, 2,077.66 and 563.62

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Solution

The fourth proportional to 1,386.30, 2,077.66 and 563.62 is: 844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.30 : 2,077.66 = 563.62 : x
  2. Step 2: Convert to fraction form
    1,386.30/2,077.66 = 563.62/x
  3. Step 3: Cross multiply
    1,386.30x = 2,077.66 × 563.62
  4. Step 4: Simplify right side
    1,386.30x = 1,171,007.91
  5. Step 5: Solve for x
    x = 1,171,007.91/1,386.30
  6. Step 6: Final answer
    x = 844.70

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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.