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Finding the Fourth Proportional to 907.99, 1,361.03 and 381.20

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Solution

The fourth proportional to 907.99, 1,361.03 and 381.20 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.99 : 1,361.03 = 381.20 : x
  2. Step 2: Convert to fraction form
    907.99/1,361.03 = 381.20/x
  3. Step 3: Cross multiply
    907.99x = 1,361.03 × 381.20
  4. Step 4: Simplify right side
    907.99x = 518,824.64
  5. Step 5: Solve for x
    x = 518,824.64/907.99
  6. Step 6: Final answer
    x = 571.40

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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.