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Finding the Fourth Proportional to 1,192.03, 1,788.59 and 615.31

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Solution

The fourth proportional to 1,192.03, 1,788.59 and 615.31 is: 923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.03 : 1,788.59 = 615.31 : x
  2. Step 2: Convert to fraction form
    1,192.03/1,788.59 = 615.31/x
  3. Step 3: Cross multiply
    1,192.03x = 1,788.59 × 615.31
  4. Step 4: Simplify right side
    1,192.03x = 1,100,537.31
  5. Step 5: Solve for x
    x = 1,100,537.31/1,192.03
  6. Step 6: Final answer
    x = 923.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.