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Finding the Fourth Proportional to 907.05, 1,361.87 and 517.83

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Solution

The fourth proportional to 907.05, 1,361.87 and 517.83 is: 777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.05 : 1,361.87 = 517.83 : x
  2. Step 2: Convert to fraction form
    907.05/1,361.87 = 517.83/x
  3. Step 3: Cross multiply
    907.05x = 1,361.87 × 517.83
  4. Step 4: Simplify right side
    907.05x = 705,214.55
  5. Step 5: Solve for x
    x = 705,214.55/907.05
  6. Step 6: Final answer
    x = 777.48

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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.