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Finding the Fourth Proportional to 850.12, 1,281.98 and 838.56

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Solution

The fourth proportional to 850.12, 1,281.98 and 838.56 is: 1,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.12 : 1,281.98 = 838.56 : x
  2. Step 2: Convert to fraction form
    850.12/1,281.98 = 838.56/x
  3. Step 3: Cross multiply
    850.12x = 1,281.98 × 838.56
  4. Step 4: Simplify right side
    850.12x = 1,075,017.15
  5. Step 5: Solve for x
    x = 1,075,017.15/850.12
  6. Step 6: Final answer
    x = 1,264.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.