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Finding the Fourth Proportional to 1,277.68, 1,913.50 and 838.66

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Solution

The fourth proportional to 1,277.68, 1,913.50 and 838.66 is: 1,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.68 : 1,913.50 = 838.66 : x
  2. Step 2: Convert to fraction form
    1,277.68/1,913.50 = 838.66/x
  3. Step 3: Cross multiply
    1,277.68x = 1,913.50 × 838.66
  4. Step 4: Simplify right side
    1,277.68x = 1,604,775.91
  5. Step 5: Solve for x
    x = 1,604,775.91/1,277.68
  6. Step 6: Final answer
    x = 1,256.01

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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.