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Finding the Fourth Proportional to 1,094.07, 1,640.04 and 606.10

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Solution

The fourth proportional to 1,094.07, 1,640.04 and 606.10 is: 908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.07 : 1,640.04 = 606.10 : x
  2. Step 2: Convert to fraction form
    1,094.07/1,640.04 = 606.10/x
  3. Step 3: Cross multiply
    1,094.07x = 1,640.04 × 606.10
  4. Step 4: Simplify right side
    1,094.07x = 994,028.24
  5. Step 5: Solve for x
    x = 994,028.24/1,094.07
  6. Step 6: Final answer
    x = 908.56

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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.