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Finding the Fourth Proportional to 1,093.57, 1,509.12 and 621.46

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Solution

The fourth proportional to 1,093.57, 1,509.12 and 621.46 is: 857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.57 : 1,509.12 = 621.46 : x
  2. Step 2: Convert to fraction form
    1,093.57/1,509.12 = 621.46/x
  3. Step 3: Cross multiply
    1,093.57x = 1,509.12 × 621.46
  4. Step 4: Simplify right side
    1,093.57x = 937,863.72
  5. Step 5: Solve for x
    x = 937,863.72/1,093.57
  6. Step 6: Final answer
    x = 857.62

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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.