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Finding the Fourth Proportional to 840.21, 1,260.90 and 580.80

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Solution

The fourth proportional to 840.21, 1,260.90 and 580.80 is: 871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.21 : 1,260.90 = 580.80 : x
  2. Step 2: Convert to fraction form
    840.21/1,260.90 = 580.80/x
  3. Step 3: Cross multiply
    840.21x = 1,260.90 × 580.80
  4. Step 4: Simplify right side
    840.21x = 732,330.72
  5. Step 5: Solve for x
    x = 732,330.72/840.21
  6. Step 6: Final answer
    x = 871.60

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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.