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Finding the Fourth Proportional to 1,192.07, 1,643.44 and 837.36

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Solution

The fourth proportional to 1,192.07, 1,643.44 and 837.36 is: 1,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.07 : 1,643.44 = 837.36 : x
  2. Step 2: Convert to fraction form
    1,192.07/1,643.44 = 837.36/x
  3. Step 3: Cross multiply
    1,192.07x = 1,643.44 × 837.36
  4. Step 4: Simplify right side
    1,192.07x = 1,376,155.02
  5. Step 5: Solve for x
    x = 1,376,155.02/1,192.07
  6. Step 6: Final answer
    x = 1,154.43

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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.