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Finding the Fourth Proportional to 1,146.75, 1,718.33 and 799.35

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Solution

The fourth proportional to 1,146.75, 1,718.33 and 799.35 is: 1,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.75 : 1,718.33 = 799.35 : x
  2. Step 2: Convert to fraction form
    1,146.75/1,718.33 = 799.35/x
  3. Step 3: Cross multiply
    1,146.75x = 1,718.33 × 799.35
  4. Step 4: Simplify right side
    1,146.75x = 1,373,543.09
  5. Step 5: Solve for x
    x = 1,373,543.09/1,146.75
  6. Step 6: Final answer
    x = 1,197.77

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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.