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Finding the Fourth Proportional to 1,352.37, 2,028.15 and 474.65

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Solution

The fourth proportional to 1,352.37, 2,028.15 and 474.65 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.37 : 2,028.15 = 474.65 : x
  2. Step 2: Convert to fraction form
    1,352.37/2,028.15 = 474.65/x
  3. Step 3: Cross multiply
    1,352.37x = 2,028.15 × 474.65
  4. Step 4: Simplify right side
    1,352.37x = 962,661.40
  5. Step 5: Solve for x
    x = 962,661.40/1,352.37
  6. Step 6: Final answer
    x = 711.84

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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.