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Finding the Fourth Proportional to 1,217.11, 1,822.83 and 942.32

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Solution

The fourth proportional to 1,217.11, 1,822.83 and 942.32 is: 1,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.11 : 1,822.83 = 942.32 : x
  2. Step 2: Convert to fraction form
    1,217.11/1,822.83 = 942.32/x
  3. Step 3: Cross multiply
    1,217.11x = 1,822.83 × 942.32
  4. Step 4: Simplify right side
    1,217.11x = 1,717,686.89
  5. Step 5: Solve for x
    x = 1,717,686.89/1,217.11
  6. Step 6: Final answer
    x = 1,411.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.