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Finding the Fourth Proportional to 836.68, 1,154.84 and 588.06

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Solution

The fourth proportional to 836.68, 1,154.84 and 588.06 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.68 : 1,154.84 = 588.06 : x
  2. Step 2: Convert to fraction form
    836.68/1,154.84 = 588.06/x
  3. Step 3: Cross multiply
    836.68x = 1,154.84 × 588.06
  4. Step 4: Simplify right side
    836.68x = 679,115.21
  5. Step 5: Solve for x
    x = 679,115.21/836.68
  6. Step 6: Final answer
    x = 811.68

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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.