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Finding the Fourth Proportional to 1,146.94, 1,582.78 and 622.98

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Solution

The fourth proportional to 1,146.94, 1,582.78 and 622.98 is: 859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.94 : 1,582.78 = 622.98 : x
  2. Step 2: Convert to fraction form
    1,146.94/1,582.78 = 622.98/x
  3. Step 3: Cross multiply
    1,146.94x = 1,582.78 × 622.98
  4. Step 4: Simplify right side
    1,146.94x = 986,040.28
  5. Step 5: Solve for x
    x = 986,040.28/1,146.94
  6. Step 6: Final answer
    x = 859.71

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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.