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Finding the Fourth Proportional to 840.54, 1,259.60 and 608.88

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Solution

The fourth proportional to 840.54, 1,259.60 and 608.88 is: 912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,259.60 = 608.88 : x
  2. Step 2: Convert to fraction form
    840.54/1,259.60 = 608.88/x
  3. Step 3: Cross multiply
    840.54x = 1,259.60 × 608.88
  4. Step 4: Simplify right side
    840.54x = 766,945.25
  5. Step 5: Solve for x
    x = 766,945.25/840.54
  6. Step 6: Final answer
    x = 912.44

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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.