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Finding the Fourth Proportional to 1,105.11, 1,523.98 and 1,024.58

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Solution

The fourth proportional to 1,105.11, 1,523.98 and 1,024.58 is: 1,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.11 : 1,523.98 = 1,024.58 : x
  2. Step 2: Convert to fraction form
    1,105.11/1,523.98 = 1,024.58/x
  3. Step 3: Cross multiply
    1,105.11x = 1,523.98 × 1,024.58
  4. Step 4: Simplify right side
    1,105.11x = 1,561,444.52
  5. Step 5: Solve for x
    x = 1,561,444.52/1,105.11
  6. Step 6: Final answer
    x = 1,412.93

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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.