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Finding the Fourth Proportional to 1,119.26, 1,675.55 and 923.34

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Solution

The fourth proportional to 1,119.26, 1,675.55 and 923.34 is: 1,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.26 : 1,675.55 = 923.34 : x
  2. Step 2: Convert to fraction form
    1,119.26/1,675.55 = 923.34/x
  3. Step 3: Cross multiply
    1,119.26x = 1,675.55 × 923.34
  4. Step 4: Simplify right side
    1,119.26x = 1,547,097.72
  5. Step 5: Solve for x
    x = 1,547,097.72/1,119.26
  6. Step 6: Final answer
    x = 1,382.25

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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.