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Finding the Fourth Proportional to 1,146.49, 1,582.14 and 622.52

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Solution

The fourth proportional to 1,146.49, 1,582.14 and 622.52 is: 859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.49 : 1,582.14 = 622.52 : x
  2. Step 2: Convert to fraction form
    1,146.49/1,582.14 = 622.52/x
  3. Step 3: Cross multiply
    1,146.49x = 1,582.14 × 622.52
  4. Step 4: Simplify right side
    1,146.49x = 984,906.51
  5. Step 5: Solve for x
    x = 984,906.51/1,146.49
  6. Step 6: Final answer
    x = 859.07

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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.