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Finding the Fourth Proportional to 840.04, 1,260.34 and 593.26

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Solution

The fourth proportional to 840.04, 1,260.34 and 593.26 is: 890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.04 : 1,260.34 = 593.26 : x
  2. Step 2: Convert to fraction form
    840.04/1,260.34 = 593.26/x
  3. Step 3: Cross multiply
    840.04x = 1,260.34 × 593.26
  4. Step 4: Simplify right side
    840.04x = 747,709.31
  5. Step 5: Solve for x
    x = 747,709.31/840.04
  6. Step 6: Final answer
    x = 890.09

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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.