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Finding the Fourth Proportional to 1,390.24, 1,918.60 and 800.86

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Solution

The fourth proportional to 1,390.24, 1,918.60 and 800.86 is: 1,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.24 : 1,918.60 = 800.86 : x
  2. Step 2: Convert to fraction form
    1,390.24/1,918.60 = 800.86/x
  3. Step 3: Cross multiply
    1,390.24x = 1,918.60 × 800.86
  4. Step 4: Simplify right side
    1,390.24x = 1,536,530.00
  5. Step 5: Solve for x
    x = 1,536,530.00/1,390.24
  6. Step 6: Final answer
    x = 1,105.23

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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.