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Finding the Fourth Proportional to 840.16, 1,259.70 and 579.43

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Solution

The fourth proportional to 840.16, 1,259.70 and 579.43 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.16 : 1,259.70 = 579.43 : x
  2. Step 2: Convert to fraction form
    840.16/1,259.70 = 579.43/x
  3. Step 3: Cross multiply
    840.16x = 1,259.70 × 579.43
  4. Step 4: Simplify right side
    840.16x = 729,907.97
  5. Step 5: Solve for x
    x = 729,907.97/840.16
  6. Step 6: Final answer
    x = 868.77

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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.