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Finding the Fourth Proportional to 1,225.16, 1,837.88 and 359.47

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Solution

The fourth proportional to 1,225.16, 1,837.88 and 359.47 is: 539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.16 : 1,837.88 = 359.47 : x
  2. Step 2: Convert to fraction form
    1,225.16/1,837.88 = 359.47/x
  3. Step 3: Cross multiply
    1,225.16x = 1,837.88 × 359.47
  4. Step 4: Simplify right side
    1,225.16x = 660,662.72
  5. Step 5: Solve for x
    x = 660,662.72/1,225.16
  6. Step 6: Final answer
    x = 539.25

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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.