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Finding the Fourth Proportional to 840.90, 1,260.44 and 566.31

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Solution

The fourth proportional to 840.90, 1,260.44 and 566.31 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.90 : 1,260.44 = 566.31 : x
  2. Step 2: Convert to fraction form
    840.90/1,260.44 = 566.31/x
  3. Step 3: Cross multiply
    840.90x = 1,260.44 × 566.31
  4. Step 4: Simplify right side
    840.90x = 713,799.78
  5. Step 5: Solve for x
    x = 713,799.78/840.90
  6. Step 6: Final answer
    x = 848.85

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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.