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Finding the Fourth Proportional to 1,466.32, 2,199.84 and 492.64

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Solution

The fourth proportional to 1,466.32, 2,199.84 and 492.64 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.32 : 2,199.84 = 492.64 : x
  2. Step 2: Convert to fraction form
    1,466.32/2,199.84 = 492.64/x
  3. Step 3: Cross multiply
    1,466.32x = 2,199.84 × 492.64
  4. Step 4: Simplify right side
    1,466.32x = 1,083,729.18
  5. Step 5: Solve for x
    x = 1,083,729.18/1,466.32
  6. Step 6: Final answer
    x = 739.08

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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.