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Finding the Fourth Proportional to 907.05, 1,251.77 and 557.85

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Solution

The fourth proportional to 907.05, 1,251.77 and 557.85 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.05 : 1,251.77 = 557.85 : x
  2. Step 2: Convert to fraction form
    907.05/1,251.77 = 557.85/x
  3. Step 3: Cross multiply
    907.05x = 1,251.77 × 557.85
  4. Step 4: Simplify right side
    907.05x = 698,297.11
  5. Step 5: Solve for x
    x = 698,297.11/907.05
  6. Step 6: Final answer
    x = 769.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.