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Finding the Fourth Proportional to 1,252.10, 1,877.67 and 418.99

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Solution

The fourth proportional to 1,252.10, 1,877.67 and 418.99 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.10 : 1,877.67 = 418.99 : x
  2. Step 2: Convert to fraction form
    1,252.10/1,877.67 = 418.99/x
  3. Step 3: Cross multiply
    1,252.10x = 1,877.67 × 418.99
  4. Step 4: Simplify right side
    1,252.10x = 786,720.26
  5. Step 5: Solve for x
    x = 786,720.26/1,252.10
  6. Step 6: Final answer
    x = 628.32

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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.