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Finding the Fourth Proportional to 1,093.07, 1,508.51 and 650.99

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Solution

The fourth proportional to 1,093.07, 1,508.51 and 650.99 is: 898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.07 : 1,508.51 = 650.99 : x
  2. Step 2: Convert to fraction form
    1,093.07/1,508.51 = 650.99/x
  3. Step 3: Cross multiply
    1,093.07x = 1,508.51 × 650.99
  4. Step 4: Simplify right side
    1,093.07x = 982,024.92
  5. Step 5: Solve for x
    x = 982,024.92/1,093.07
  6. Step 6: Final answer
    x = 898.41

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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.