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Finding the Fourth Proportional to 840.68, 1,259.88 and 378.60

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Solution

The fourth proportional to 840.68, 1,259.88 and 378.60 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.68 : 1,259.88 = 378.60 : x
  2. Step 2: Convert to fraction form
    840.68/1,259.88 = 378.60/x
  3. Step 3: Cross multiply
    840.68x = 1,259.88 × 378.60
  4. Step 4: Simplify right side
    840.68x = 476,990.57
  5. Step 5: Solve for x
    x = 476,990.57/840.68
  6. Step 6: Final answer
    x = 567.39

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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.