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Finding the Fourth Proportional to 1,190.66, 1,782.54 and 899.36

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Solution

The fourth proportional to 1,190.66, 1,782.54 and 899.36 is: 1,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.66 : 1,782.54 = 899.36 : x
  2. Step 2: Convert to fraction form
    1,190.66/1,782.54 = 899.36/x
  3. Step 3: Cross multiply
    1,190.66x = 1,782.54 × 899.36
  4. Step 4: Simplify right side
    1,190.66x = 1,603,142.95
  5. Step 5: Solve for x
    x = 1,603,142.95/1,190.66
  6. Step 6: Final answer
    x = 1,346.44

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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.