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Finding the Fourth Proportional to 1,295.19, 1,786.37 and 852.93

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Solution

The fourth proportional to 1,295.19, 1,786.37 and 852.93 is: 1,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,786.37 = 852.93 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,786.37 = 852.93/x
  3. Step 3: Cross multiply
    1,295.19x = 1,786.37 × 852.93
  4. Step 4: Simplify right side
    1,295.19x = 1,523,644.30
  5. Step 5: Solve for x
    x = 1,523,644.30/1,295.19
  6. Step 6: Final answer
    x = 1,176.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.