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Finding the Fourth Proportional to 1,228.30, 1,840.20 and 577.60

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Solution

The fourth proportional to 1,228.30, 1,840.20 and 577.60 is: 865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.30 : 1,840.20 = 577.60 : x
  2. Step 2: Convert to fraction form
    1,228.30/1,840.20 = 577.60/x
  3. Step 3: Cross multiply
    1,228.30x = 1,840.20 × 577.60
  4. Step 4: Simplify right side
    1,228.30x = 1,062,899.52
  5. Step 5: Solve for x
    x = 1,062,899.52/1,228.30
  6. Step 6: Final answer
    x = 865.34

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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.