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Finding the Fourth Proportional to 1,094.26, 1,640.70 and 835.93

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Solution

The fourth proportional to 1,094.26, 1,640.70 and 835.93 is: 1,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.26 : 1,640.70 = 835.93 : x
  2. Step 2: Convert to fraction form
    1,094.26/1,640.70 = 835.93/x
  3. Step 3: Cross multiply
    1,094.26x = 1,640.70 × 835.93
  4. Step 4: Simplify right side
    1,094.26x = 1,371,510.35
  5. Step 5: Solve for x
    x = 1,371,510.35/1,094.26
  6. Step 6: Final answer
    x = 1,253.37

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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.