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Finding the Fourth Proportional to 1,187.04, 1,638.12 and 1,009.44

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Solution

The fourth proportional to 1,187.04, 1,638.12 and 1,009.44 is: 1,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.04 : 1,638.12 = 1,009.44 : x
  2. Step 2: Convert to fraction form
    1,187.04/1,638.12 = 1,009.44/x
  3. Step 3: Cross multiply
    1,187.04x = 1,638.12 × 1,009.44
  4. Step 4: Simplify right side
    1,187.04x = 1,653,583.85
  5. Step 5: Solve for x
    x = 1,653,583.85/1,187.04
  6. Step 6: Final answer
    x = 1,393.03

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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.