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Finding the Fourth Proportional to 1,105.06, 1,657.58 and 694.48

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Solution

The fourth proportional to 1,105.06, 1,657.58 and 694.48 is: 1,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.06 : 1,657.58 = 694.48 : x
  2. Step 2: Convert to fraction form
    1,105.06/1,657.58 = 694.48/x
  3. Step 3: Cross multiply
    1,105.06x = 1,657.58 × 694.48
  4. Step 4: Simplify right side
    1,105.06x = 1,151,156.16
  5. Step 5: Solve for x
    x = 1,151,156.16/1,105.06
  6. Step 6: Final answer
    x = 1,041.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.