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Finding the Fourth Proportional to 1,074.02, 1,482.16 and 601.96

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Solution

The fourth proportional to 1,074.02, 1,482.16 and 601.96 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.02 : 1,482.16 = 601.96 : x
  2. Step 2: Convert to fraction form
    1,074.02/1,482.16 = 601.96/x
  3. Step 3: Cross multiply
    1,074.02x = 1,482.16 × 601.96
  4. Step 4: Simplify right side
    1,074.02x = 892,201.03
  5. Step 5: Solve for x
    x = 892,201.03/1,074.02
  6. Step 6: Final answer
    x = 830.71

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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.