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Finding the Fourth Proportional to 1,277, 1,914.96 and 545.84

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Solution

The fourth proportional to 1,277, 1,914.96 and 545.84 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277 : 1,914.96 = 545.84 : x
  2. Step 2: Convert to fraction form
    1,277/1,914.96 = 545.84/x
  3. Step 3: Cross multiply
    1,277x = 1,914.96 × 545.84
  4. Step 4: Simplify right side
    1,277x = 1,045,261.77
  5. Step 5: Solve for x
    x = 1,045,261.77/1,277
  6. Step 6: Final answer
    x = 818.53

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Why These Related Problems?

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