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Finding the Fourth Proportional to 836.41, 1,155.63 and 588.55

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Solution

The fourth proportional to 836.41, 1,155.63 and 588.55 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.41 : 1,155.63 = 588.55 : x
  2. Step 2: Convert to fraction form
    836.41/1,155.63 = 588.55/x
  3. Step 3: Cross multiply
    836.41x = 1,155.63 × 588.55
  4. Step 4: Simplify right side
    836.41x = 680,146.04
  5. Step 5: Solve for x
    x = 680,146.04/836.41
  6. Step 6: Final answer
    x = 813.17

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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.