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Finding the Fourth Proportional to 1,216.56, 1,822.74 and 958.21

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Solution

The fourth proportional to 1,216.56, 1,822.74 and 958.21 is: 1,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.56 : 1,822.74 = 958.21 : x
  2. Step 2: Convert to fraction form
    1,216.56/1,822.74 = 958.21/x
  3. Step 3: Cross multiply
    1,216.56x = 1,822.74 × 958.21
  4. Step 4: Simplify right side
    1,216.56x = 1,746,567.70
  5. Step 5: Solve for x
    x = 1,746,567.70/1,216.56
  6. Step 6: Final answer
    x = 1,435.66

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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.