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Finding the Fourth Proportional to 1,323.02, 1,825.94 and 850.74

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Solution

The fourth proportional to 1,323.02, 1,825.94 and 850.74 is: 1,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,825.94 = 850.74 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,825.94 = 850.74/x
  3. Step 3: Cross multiply
    1,323.02x = 1,825.94 × 850.74
  4. Step 4: Simplify right side
    1,323.02x = 1,553,400.20
  5. Step 5: Solve for x
    x = 1,553,400.20/1,323.02
  6. Step 6: Final answer
    x = 1,174.13

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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.