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Finding the Fourth Proportional to 836.42, 1,154.04 and 486.86

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Solution

The fourth proportional to 836.42, 1,154.04 and 486.86 is: 671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,154.04 = 486.86 : x
  2. Step 2: Convert to fraction form
    836.42/1,154.04 = 486.86/x
  3. Step 3: Cross multiply
    836.42x = 1,154.04 × 486.86
  4. Step 4: Simplify right side
    836.42x = 561,855.91
  5. Step 5: Solve for x
    x = 561,855.91/836.42
  6. Step 6: Final answer
    x = 671.74

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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.