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Finding the Fourth Proportional to 1,129.83, 1,696.57 and 852.20

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Solution

The fourth proportional to 1,129.83, 1,696.57 and 852.20 is: 1,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.83 : 1,696.57 = 852.20 : x
  2. Step 2: Convert to fraction form
    1,129.83/1,696.57 = 852.20/x
  3. Step 3: Cross multiply
    1,129.83x = 1,696.57 × 852.20
  4. Step 4: Simplify right side
    1,129.83x = 1,445,816.95
  5. Step 5: Solve for x
    x = 1,445,816.95/1,129.83
  6. Step 6: Final answer
    x = 1,279.68

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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.