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Finding the Fourth Proportional to 837.80, 1,156.02 and 558.44

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Solution

The fourth proportional to 837.80, 1,156.02 and 558.44 is: 770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,156.02 = 558.44 : x
  2. Step 2: Convert to fraction form
    837.80/1,156.02 = 558.44/x
  3. Step 3: Cross multiply
    837.80x = 1,156.02 × 558.44
  4. Step 4: Simplify right side
    837.80x = 645,567.81
  5. Step 5: Solve for x
    x = 645,567.81/837.80
  6. Step 6: Final answer
    x = 770.55

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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.