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Finding the Fourth Proportional to 1,290.23, 1,775.89 and 1,078.01

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Solution

The fourth proportional to 1,290.23, 1,775.89 and 1,078.01 is: 1,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.23 : 1,775.89 = 1,078.01 : x
  2. Step 2: Convert to fraction form
    1,290.23/1,775.89 = 1,078.01/x
  3. Step 3: Cross multiply
    1,290.23x = 1,775.89 × 1,078.01
  4. Step 4: Simplify right side
    1,290.23x = 1,914,426.31
  5. Step 5: Solve for x
    x = 1,914,426.31/1,290.23
  6. Step 6: Final answer
    x = 1,483.79

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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.