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Finding the Fourth Proportional to 1,215.08, 1,822.84 and 393.28

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Solution

The fourth proportional to 1,215.08, 1,822.84 and 393.28 is: 589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.08 : 1,822.84 = 393.28 : x
  2. Step 2: Convert to fraction form
    1,215.08/1,822.84 = 393.28/x
  3. Step 3: Cross multiply
    1,215.08x = 1,822.84 × 393.28
  4. Step 4: Simplify right side
    1,215.08x = 716,886.52
  5. Step 5: Solve for x
    x = 716,886.52/1,215.08
  6. Step 6: Final answer
    x = 589.99

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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.