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Finding the Fourth Proportional to 1,040.00, 1,559.39 and 390.38

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Solution

The fourth proportional to 1,040.00, 1,559.39 and 390.38 is: 585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.00 : 1,559.39 = 390.38 : x
  2. Step 2: Convert to fraction form
    1,040.00/1,559.39 = 390.38/x
  3. Step 3: Cross multiply
    1,040.00x = 1,559.39 × 390.38
  4. Step 4: Simplify right side
    1,040.00x = 608,744.92
  5. Step 5: Solve for x
    x = 608,744.92/1,040.00
  6. Step 6: Final answer
    x = 585.33

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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.