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Finding the Fourth Proportional to 1,314.54, 1,812.36 and 1,077.60

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Solution

The fourth proportional to 1,314.54, 1,812.36 and 1,077.60 is: 1,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.54 : 1,812.36 = 1,077.60 : x
  2. Step 2: Convert to fraction form
    1,314.54/1,812.36 = 1,077.60/x
  3. Step 3: Cross multiply
    1,314.54x = 1,812.36 × 1,077.60
  4. Step 4: Simplify right side
    1,314.54x = 1,952,999.14
  5. Step 5: Solve for x
    x = 1,952,999.14/1,314.54
  6. Step 6: Final answer
    x = 1,485.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.