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Finding the Fourth Proportional to 1,265.86, 1,898.34 and 777.44

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Solution

The fourth proportional to 1,265.86, 1,898.34 and 777.44 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.86 : 1,898.34 = 777.44 : x
  2. Step 2: Convert to fraction form
    1,265.86/1,898.34 = 777.44/x
  3. Step 3: Cross multiply
    1,265.86x = 1,898.34 × 777.44
  4. Step 4: Simplify right side
    1,265.86x = 1,475,845.45
  5. Step 5: Solve for x
    x = 1,475,845.45/1,265.86
  6. Step 6: Final answer
    x = 1,165.88

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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.