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Finding the Fourth Proportional to 1,192.26, 1,643.58 and 837.07

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Solution

The fourth proportional to 1,192.26, 1,643.58 and 837.07 is: 1,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.26 : 1,643.58 = 837.07 : x
  2. Step 2: Convert to fraction form
    1,192.26/1,643.58 = 837.07/x
  3. Step 3: Cross multiply
    1,192.26x = 1,643.58 × 837.07
  4. Step 4: Simplify right side
    1,192.26x = 1,375,791.51
  5. Step 5: Solve for x
    x = 1,375,791.51/1,192.26
  6. Step 6: Final answer
    x = 1,153.94

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1.5x scale

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.