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Finding the Fourth Proportional to 907.62, 1,361.96 and 491.46

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Solution

The fourth proportional to 907.62, 1,361.96 and 491.46 is: 737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.62 : 1,361.96 = 491.46 : x
  2. Step 2: Convert to fraction form
    907.62/1,361.96 = 491.46/x
  3. Step 3: Cross multiply
    907.62x = 1,361.96 × 491.46
  4. Step 4: Simplify right side
    907.62x = 669,346.40
  5. Step 5: Solve for x
    x = 669,346.40/907.62
  6. Step 6: Final answer
    x = 737.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.