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Finding the Fourth Proportional to 1,225.08, 1,837.40 and 359.18

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Solution

The fourth proportional to 1,225.08, 1,837.40 and 359.18 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.08 : 1,837.40 = 359.18 : x
  2. Step 2: Convert to fraction form
    1,225.08/1,837.40 = 359.18/x
  3. Step 3: Cross multiply
    1,225.08x = 1,837.40 × 359.18
  4. Step 4: Simplify right side
    1,225.08x = 659,957.33
  5. Step 5: Solve for x
    x = 659,957.33/1,225.08
  6. Step 6: Final answer
    x = 538.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.