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Finding the Fourth Proportional to 1,192.12, 1,644.91 and 719.89

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Solution

The fourth proportional to 1,192.12, 1,644.91 and 719.89 is: 993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.12 : 1,644.91 = 719.89 : x
  2. Step 2: Convert to fraction form
    1,192.12/1,644.91 = 719.89/x
  3. Step 3: Cross multiply
    1,192.12x = 1,644.91 × 719.89
  4. Step 4: Simplify right side
    1,192.12x = 1,184,154.26
  5. Step 5: Solve for x
    x = 1,184,154.26/1,192.12
  6. Step 6: Final answer
    x = 993.32

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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.