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Finding the Fourth Proportional to 1,284.60, 1,922.10 and 852.60

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Solution

The fourth proportional to 1,284.60, 1,922.10 and 852.60 is: 1,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.60 : 1,922.10 = 852.60 : x
  2. Step 2: Convert to fraction form
    1,284.60/1,922.10 = 852.60/x
  3. Step 3: Cross multiply
    1,284.60x = 1,922.10 × 852.60
  4. Step 4: Simplify right side
    1,284.60x = 1,638,782.46
  5. Step 5: Solve for x
    x = 1,638,782.46/1,284.60
  6. Step 6: Final answer
    x = 1,275.71

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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.