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Finding the Fourth Proportional to 1,327.98, 1,833.45 and 909.03

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Solution

The fourth proportional to 1,327.98, 1,833.45 and 909.03 is: 1,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.98 : 1,833.45 = 909.03 : x
  2. Step 2: Convert to fraction form
    1,327.98/1,833.45 = 909.03/x
  3. Step 3: Cross multiply
    1,327.98x = 1,833.45 × 909.03
  4. Step 4: Simplify right side
    1,327.98x = 1,666,661.05
  5. Step 5: Solve for x
    x = 1,666,661.05/1,327.98
  6. Step 6: Final answer
    x = 1,255.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.