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Finding the Fourth Proportional to 1,087.06, 1,498.89 and 1,009.30

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Solution

The fourth proportional to 1,087.06, 1,498.89 and 1,009.30 is: 1,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.06 : 1,498.89 = 1,009.30 : x
  2. Step 2: Convert to fraction form
    1,087.06/1,498.89 = 1,009.30/x
  3. Step 3: Cross multiply
    1,087.06x = 1,498.89 × 1,009.30
  4. Step 4: Simplify right side
    1,087.06x = 1,512,829.68
  5. Step 5: Solve for x
    x = 1,512,829.68/1,087.06
  6. Step 6: Final answer
    x = 1,391.67

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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.