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Finding the Fourth Proportional to 1,055.70, 1,579.23 and 779.85

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Solution

The fourth proportional to 1,055.70, 1,579.23 and 779.85 is: 1,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,579.23 = 779.85 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,579.23 = 779.85/x
  3. Step 3: Cross multiply
    1,055.70x = 1,579.23 × 779.85
  4. Step 4: Simplify right side
    1,055.70x = 1,231,562.52
  5. Step 5: Solve for x
    x = 1,231,562.52/1,055.70
  6. Step 6: Final answer
    x = 1,166.58

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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.