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Finding the Fourth Proportional to 1,069.60, 1,602.26 and 850.58

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Solution

The fourth proportional to 1,069.60, 1,602.26 and 850.58 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,602.26 = 850.58 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,602.26 = 850.58/x
  3. Step 3: Cross multiply
    1,069.60x = 1,602.26 × 850.58
  4. Step 4: Simplify right side
    1,069.60x = 1,362,850.31
  5. Step 5: Solve for x
    x = 1,362,850.31/1,069.60
  6. Step 6: Final answer
    x = 1,274.17

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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.