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Finding the Fourth Proportional to 907.04, 1,361.02 and 419.54

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Solution

The fourth proportional to 907.04, 1,361.02 and 419.54 is: 629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.04 : 1,361.02 = 419.54 : x
  2. Step 2: Convert to fraction form
    907.04/1,361.02 = 419.54/x
  3. Step 3: Cross multiply
    907.04x = 1,361.02 × 419.54
  4. Step 4: Simplify right side
    907.04x = 571,002.33
  5. Step 5: Solve for x
    x = 571,002.33/907.04
  6. Step 6: Final answer
    x = 629.52

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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.