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Finding the Fourth Proportional to 1,215.37, 1,822.94 and 435.34

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Solution

The fourth proportional to 1,215.37, 1,822.94 and 435.34 is: 652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.37 : 1,822.94 = 435.34 : x
  2. Step 2: Convert to fraction form
    1,215.37/1,822.94 = 435.34/x
  3. Step 3: Cross multiply
    1,215.37x = 1,822.94 × 435.34
  4. Step 4: Simplify right side
    1,215.37x = 793,600.43
  5. Step 5: Solve for x
    x = 793,600.43/1,215.37
  6. Step 6: Final answer
    x = 652.97

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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.