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Finding the Fourth Proportional to 1,268.64, 1,904.67 and 652.77

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Solution

The fourth proportional to 1,268.64, 1,904.67 and 652.77 is: 980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.64 : 1,904.67 = 652.77 : x
  2. Step 2: Convert to fraction form
    1,268.64/1,904.67 = 652.77/x
  3. Step 3: Cross multiply
    1,268.64x = 1,904.67 × 652.77
  4. Step 4: Simplify right side
    1,268.64x = 1,243,311.44
  5. Step 5: Solve for x
    x = 1,243,311.44/1,268.64
  6. Step 6: Final answer
    x = 980.03

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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.