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Finding the Fourth Proportional to 1,186.42, 1,637.27 and 662.45

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Solution

The fourth proportional to 1,186.42, 1,637.27 and 662.45 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.42 : 1,637.27 = 662.45 : x
  2. Step 2: Convert to fraction form
    1,186.42/1,637.27 = 662.45/x
  3. Step 3: Cross multiply
    1,186.42x = 1,637.27 × 662.45
  4. Step 4: Simplify right side
    1,186.42x = 1,084,613.36
  5. Step 5: Solve for x
    x = 1,084,613.36/1,186.42
  6. Step 6: Final answer
    x = 914.19

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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.