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Finding the Fourth Proportional to 908.18, 1,361.06 and 496.70

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Solution

The fourth proportional to 908.18, 1,361.06 and 496.70 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.18 : 1,361.06 = 496.70 : x
  2. Step 2: Convert to fraction form
    908.18/1,361.06 = 496.70/x
  3. Step 3: Cross multiply
    908.18x = 1,361.06 × 496.70
  4. Step 4: Simplify right side
    908.18x = 676,038.50
  5. Step 5: Solve for x
    x = 676,038.50/908.18
  6. Step 6: Final answer
    x = 744.39

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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.