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Finding the Fourth Proportional to 1,700.41, 2,550.63 and 604.81

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Solution

The fourth proportional to 1,700.41, 2,550.63 and 604.81 is: 907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.41 : 2,550.63 = 604.81 : x
  2. Step 2: Convert to fraction form
    1,700.41/2,550.63 = 604.81/x
  3. Step 3: Cross multiply
    1,700.41x = 2,550.63 × 604.81
  4. Step 4: Simplify right side
    1,700.41x = 1,542,646.53
  5. Step 5: Solve for x
    x = 1,542,646.53/1,700.41
  6. Step 6: Final answer
    x = 907.22

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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.