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Finding the Fourth Proportional to 1,146.54, 1,582.23 and 622.62

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Solution

The fourth proportional to 1,146.54, 1,582.23 and 622.62 is: 859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.54 : 1,582.23 = 622.62 : x
  2. Step 2: Convert to fraction form
    1,146.54/1,582.23 = 622.62/x
  3. Step 3: Cross multiply
    1,146.54x = 1,582.23 × 622.62
  4. Step 4: Simplify right side
    1,146.54x = 985,128.04
  5. Step 5: Solve for x
    x = 985,128.04/1,146.54
  6. Step 6: Final answer
    x = 859.22

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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.