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Finding the Fourth Proportional to 1,190.48, 1,783.62 and 727.16

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Solution

The fourth proportional to 1,190.48, 1,783.62 and 727.16 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.48 : 1,783.62 = 727.16 : x
  2. Step 2: Convert to fraction form
    1,190.48/1,783.62 = 727.16/x
  3. Step 3: Cross multiply
    1,190.48x = 1,783.62 × 727.16
  4. Step 4: Simplify right side
    1,190.48x = 1,296,968.20
  5. Step 5: Solve for x
    x = 1,296,968.20/1,190.48
  6. Step 6: Final answer
    x = 1,089.45

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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.