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Finding the Fourth Proportional to 1,093.86, 1,509.60 and 628.14

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Solution

The fourth proportional to 1,093.86, 1,509.60 and 628.14 is: 866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.86 : 1,509.60 = 628.14 : x
  2. Step 2: Convert to fraction form
    1,093.86/1,509.60 = 628.14/x
  3. Step 3: Cross multiply
    1,093.86x = 1,509.60 × 628.14
  4. Step 4: Simplify right side
    1,093.86x = 948,240.14
  5. Step 5: Solve for x
    x = 948,240.14/1,093.86
  6. Step 6: Final answer
    x = 866.88

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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.