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Finding the Fourth Proportional to 850.53, 1,275.67 and 405.68

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Solution

The fourth proportional to 850.53, 1,275.67 and 405.68 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.53 : 1,275.67 = 405.68 : x
  2. Step 2: Convert to fraction form
    850.53/1,275.67 = 405.68/x
  3. Step 3: Cross multiply
    850.53x = 1,275.67 × 405.68
  4. Step 4: Simplify right side
    850.53x = 517,515.98
  5. Step 5: Solve for x
    x = 517,515.98/850.53
  6. Step 6: Final answer
    x = 608.46

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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.