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Finding the Fourth Proportional to 850.77, 1,275.35 and 541.76

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Solution

The fourth proportional to 850.77, 1,275.35 and 541.76 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,275.35 = 541.76 : x
  2. Step 2: Convert to fraction form
    850.77/1,275.35 = 541.76/x
  3. Step 3: Cross multiply
    850.77x = 1,275.35 × 541.76
  4. Step 4: Simplify right side
    850.77x = 690,924.53
  5. Step 5: Solve for x
    x = 690,924.53/850.77
  6. Step 6: Final answer
    x = 812.12

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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.