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Finding the Fourth Proportional to 840.73, 1,160.14 and 486.76

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Solution

The fourth proportional to 840.73, 1,160.14 and 486.76 is: 671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.73 : 1,160.14 = 486.76 : x
  2. Step 2: Convert to fraction form
    840.73/1,160.14 = 486.76/x
  3. Step 3: Cross multiply
    840.73x = 1,160.14 × 486.76
  4. Step 4: Simplify right side
    840.73x = 564,709.75
  5. Step 5: Solve for x
    x = 564,709.75/840.73
  6. Step 6: Final answer
    x = 671.69

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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.