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Finding the Fourth Proportional to 835.20, 1,250.10 and 770.40

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Solution

The fourth proportional to 835.20, 1,250.10 and 770.40 is: 1,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,250.10 = 770.40 : x
  2. Step 2: Convert to fraction form
    835.20/1,250.10 = 770.40/x
  3. Step 3: Cross multiply
    835.20x = 1,250.10 × 770.40
  4. Step 4: Simplify right side
    835.20x = 963,077.04
  5. Step 5: Solve for x
    x = 963,077.04/835.20
  6. Step 6: Final answer
    x = 1,153.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.