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Finding the Fourth Proportional to 1,220.93, 1,826.70 and 701.18

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Solution

The fourth proportional to 1,220.93, 1,826.70 and 701.18 is: 1,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.93 : 1,826.70 = 701.18 : x
  2. Step 2: Convert to fraction form
    1,220.93/1,826.70 = 701.18/x
  3. Step 3: Cross multiply
    1,220.93x = 1,826.70 × 701.18
  4. Step 4: Simplify right side
    1,220.93x = 1,280,836.37
  5. Step 5: Solve for x
    x = 1,280,836.37/1,220.93
  6. Step 6: Final answer
    x = 1,049.07

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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.