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Finding the Fourth Proportional to 1,386.12, 2,077.56 and 563.88

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Solution

The fourth proportional to 1,386.12, 2,077.56 and 563.88 is: 845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.12 : 2,077.56 = 563.88 : x
  2. Step 2: Convert to fraction form
    1,386.12/2,077.56 = 563.88/x
  3. Step 3: Cross multiply
    1,386.12x = 2,077.56 × 563.88
  4. Step 4: Simplify right side
    1,386.12x = 1,171,494.53
  5. Step 5: Solve for x
    x = 1,171,494.53/1,386.12
  6. Step 6: Final answer
    x = 845.16

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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.