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Finding the Fourth Proportional to 1,186.24, 1,637.04 and 662.32

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Solution

The fourth proportional to 1,186.24, 1,637.04 and 662.32 is: 914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.24 : 1,637.04 = 662.32 : x
  2. Step 2: Convert to fraction form
    1,186.24/1,637.04 = 662.32/x
  3. Step 3: Cross multiply
    1,186.24x = 1,637.04 × 662.32
  4. Step 4: Simplify right side
    1,186.24x = 1,084,244.33
  5. Step 5: Solve for x
    x = 1,084,244.33/1,186.24
  6. Step 6: Final answer
    x = 914.02

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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.