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Finding the Fourth Proportional to 1,215.95, 1,824.32 and 436.12

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Solution

The fourth proportional to 1,215.95, 1,824.32 and 436.12 is: 654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.95 : 1,824.32 = 436.12 : x
  2. Step 2: Convert to fraction form
    1,215.95/1,824.32 = 436.12/x
  3. Step 3: Cross multiply
    1,215.95x = 1,824.32 × 436.12
  4. Step 4: Simplify right side
    1,215.95x = 795,618.97
  5. Step 5: Solve for x
    x = 795,618.97/1,215.95
  6. Step 6: Final answer
    x = 654.32

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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.