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Finding the Fourth Proportional to 840.92, 1,259.54 and 596.71

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Solution

The fourth proportional to 840.92, 1,259.54 and 596.71 is: 893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,259.54 = 596.71 : x
  2. Step 2: Convert to fraction form
    840.92/1,259.54 = 596.71/x
  3. Step 3: Cross multiply
    840.92x = 1,259.54 × 596.71
  4. Step 4: Simplify right side
    840.92x = 751,580.11
  5. Step 5: Solve for x
    x = 751,580.11/840.92
  6. Step 6: Final answer
    x = 893.76

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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.