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Finding the Fourth Proportional to 836.14, 1,153.42 and 486.76

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Solution

The fourth proportional to 836.14, 1,153.42 and 486.76 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,153.42 = 486.76 : x
  2. Step 2: Convert to fraction form
    836.14/1,153.42 = 486.76/x
  3. Step 3: Cross multiply
    836.14x = 1,153.42 × 486.76
  4. Step 4: Simplify right side
    836.14x = 561,438.72
  5. Step 5: Solve for x
    x = 561,438.72/836.14
  6. Step 6: Final answer
    x = 671.46

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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.