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Finding the Fourth Proportional to 1,109.89, 1,531.07 and 1,030.73

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Solution

The fourth proportional to 1,109.89, 1,531.07 and 1,030.73 is: 1,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.89 : 1,531.07 = 1,030.73 : x
  2. Step 2: Convert to fraction form
    1,109.89/1,531.07 = 1,030.73/x
  3. Step 3: Cross multiply
    1,109.89x = 1,531.07 × 1,030.73
  4. Step 4: Simplify right side
    1,109.89x = 1,578,110.84
  5. Step 5: Solve for x
    x = 1,578,110.84/1,109.89
  6. Step 6: Final answer
    x = 1,421.87

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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.