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Finding the Fourth Proportional to 1,635.71, 2,453.49 and 403.13

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Solution

The fourth proportional to 1,635.71, 2,453.49 and 403.13 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.71 : 2,453.49 = 403.13 : x
  2. Step 2: Convert to fraction form
    1,635.71/2,453.49 = 403.13/x
  3. Step 3: Cross multiply
    1,635.71x = 2,453.49 × 403.13
  4. Step 4: Simplify right side
    1,635.71x = 989,075.42
  5. Step 5: Solve for x
    x = 989,075.42/1,635.71
  6. Step 6: Final answer
    x = 604.68

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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.