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Finding the Fourth Proportional to 1,465.42, 2,199.65 and 850.33

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Solution

The fourth proportional to 1,465.42, 2,199.65 and 850.33 is: 1,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.42 : 2,199.65 = 850.33 : x
  2. Step 2: Convert to fraction form
    1,465.42/2,199.65 = 850.33/x
  3. Step 3: Cross multiply
    1,465.42x = 2,199.65 × 850.33
  4. Step 4: Simplify right side
    1,465.42x = 1,870,428.38
  5. Step 5: Solve for x
    x = 1,870,428.38/1,465.42
  6. Step 6: Final answer
    x = 1,276.38

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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.