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Finding the Fourth Proportional to 840.76, 1,159.50 and 620.26

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Solution

The fourth proportional to 840.76, 1,159.50 and 620.26 is: 855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,159.50 = 620.26 : x
  2. Step 2: Convert to fraction form
    840.76/1,159.50 = 620.26/x
  3. Step 3: Cross multiply
    840.76x = 1,159.50 × 620.26
  4. Step 4: Simplify right side
    840.76x = 719,191.47
  5. Step 5: Solve for x
    x = 719,191.47/840.76
  6. Step 6: Final answer
    x = 855.41

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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.