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Finding the Fourth Proportional to 1,129.74, 1,704.78 and 1,089.06

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Solution

The fourth proportional to 1,129.74, 1,704.78 and 1,089.06 is: 1,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.74 : 1,704.78 = 1,089.06 : x
  2. Step 2: Convert to fraction form
    1,129.74/1,704.78 = 1,089.06/x
  3. Step 3: Cross multiply
    1,129.74x = 1,704.78 × 1,089.06
  4. Step 4: Simplify right side
    1,129.74x = 1,856,607.71
  5. Step 5: Solve for x
    x = 1,856,607.71/1,129.74
  6. Step 6: Final answer
    x = 1,643.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.