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Finding the Fourth Proportional to 1,225.17, 1,837.62 and 359.49

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Solution

The fourth proportional to 1,225.17, 1,837.62 and 359.49 is: 539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.17 : 1,837.62 = 359.49 : x
  2. Step 2: Convert to fraction form
    1,225.17/1,837.62 = 359.49/x
  3. Step 3: Cross multiply
    1,225.17x = 1,837.62 × 359.49
  4. Step 4: Simplify right side
    1,225.17x = 660,606.01
  5. Step 5: Solve for x
    x = 660,606.01/1,225.17
  6. Step 6: Final answer
    x = 539.20

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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.