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Finding the Fourth Proportional to 1,141.37, 1,718.29 and 778.46

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Solution

The fourth proportional to 1,141.37, 1,718.29 and 778.46 is: 1,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.37 : 1,718.29 = 778.46 : x
  2. Step 2: Convert to fraction form
    1,141.37/1,718.29 = 778.46/x
  3. Step 3: Cross multiply
    1,141.37x = 1,718.29 × 778.46
  4. Step 4: Simplify right side
    1,141.37x = 1,337,620.03
  5. Step 5: Solve for x
    x = 1,337,620.03/1,141.37
  6. Step 6: Final answer
    x = 1,171.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.