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Finding the Fourth Proportional to 1,145.66, 1,581 and 621.68

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Solution

The fourth proportional to 1,145.66, 1,581 and 621.68 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.66 : 1,581 = 621.68 : x
  2. Step 2: Convert to fraction form
    1,145.66/1,581 = 621.68/x
  3. Step 3: Cross multiply
    1,145.66x = 1,581 × 621.68
  4. Step 4: Simplify right side
    1,145.66x = 982,876.08
  5. Step 5: Solve for x
    x = 982,876.08/1,145.66
  6. Step 6: Final answer
    x = 857.91

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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.