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Finding the Fourth Proportional to 1,146.33, 1,581.95 and 622.37

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Solution

The fourth proportional to 1,146.33, 1,581.95 and 622.37 is: 858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.33 : 1,581.95 = 622.37 : x
  2. Step 2: Convert to fraction form
    1,146.33/1,581.95 = 622.37/x
  3. Step 3: Cross multiply
    1,146.33x = 1,581.95 × 622.37
  4. Step 4: Simplify right side
    1,146.33x = 984,547.20
  5. Step 5: Solve for x
    x = 984,547.20/1,146.33
  6. Step 6: Final answer
    x = 858.87

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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.