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Finding the Fourth Proportional to 1,215.12, 1,822.95 and 393.24

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Solution

The fourth proportional to 1,215.12, 1,822.95 and 393.24 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.12 : 1,822.95 = 393.24 : x
  2. Step 2: Convert to fraction form
    1,215.12/1,822.95 = 393.24/x
  3. Step 3: Cross multiply
    1,215.12x = 1,822.95 × 393.24
  4. Step 4: Simplify right side
    1,215.12x = 716,856.86
  5. Step 5: Solve for x
    x = 716,856.86/1,215.12
  6. Step 6: Final answer
    x = 589.95

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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.