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Finding the Fourth Proportional to 1,105.89, 1,524.45 and 909.06

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Solution

The fourth proportional to 1,105.89, 1,524.45 and 909.06 is: 1,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.89 : 1,524.45 = 909.06 : x
  2. Step 2: Convert to fraction form
    1,105.89/1,524.45 = 909.06/x
  3. Step 3: Cross multiply
    1,105.89x = 1,524.45 × 909.06
  4. Step 4: Simplify right side
    1,105.89x = 1,385,814.21
  5. Step 5: Solve for x
    x = 1,385,814.21/1,105.89
  6. Step 6: Final answer
    x = 1,253.13

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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.