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Finding the Fourth Proportional to 1,053.18, 1,579.75 and 794.83

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Solution

The fourth proportional to 1,053.18, 1,579.75 and 794.83 is: 1,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.18 : 1,579.75 = 794.83 : x
  2. Step 2: Convert to fraction form
    1,053.18/1,579.75 = 794.83/x
  3. Step 3: Cross multiply
    1,053.18x = 1,579.75 × 794.83
  4. Step 4: Simplify right side
    1,053.18x = 1,255,632.69
  5. Step 5: Solve for x
    x = 1,255,632.69/1,053.18
  6. Step 6: Final answer
    x = 1,192.23

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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.