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Finding the Fourth Proportional to 1,254.05, 1,733.91 and 1,098.33

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Solution

The fourth proportional to 1,254.05, 1,733.91 and 1,098.33 is: 1,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.05 : 1,733.91 = 1,098.33 : x
  2. Step 2: Convert to fraction form
    1,254.05/1,733.91 = 1,098.33/x
  3. Step 3: Cross multiply
    1,254.05x = 1,733.91 × 1,098.33
  4. Step 4: Simplify right side
    1,254.05x = 1,904,405.37
  5. Step 5: Solve for x
    x = 1,904,405.37/1,254.05
  6. Step 6: Final answer
    x = 1,518.60

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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.