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Finding the Fourth Proportional to 1,225.07, 1,837.38 and 639.44

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Solution

The fourth proportional to 1,225.07, 1,837.38 and 639.44 is: 959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.07 : 1,837.38 = 639.44 : x
  2. Step 2: Convert to fraction form
    1,225.07/1,837.38 = 639.44/x
  3. Step 3: Cross multiply
    1,225.07x = 1,837.38 × 639.44
  4. Step 4: Simplify right side
    1,225.07x = 1,174,904.70
  5. Step 5: Solve for x
    x = 1,174,904.70/1,225.07
  6. Step 6: Final answer
    x = 959.05

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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.