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Finding the Fourth Proportional to 1,268.24, 1,904.10 and 652.46

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Solution

The fourth proportional to 1,268.24, 1,904.10 and 652.46 is: 979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.24 : 1,904.10 = 652.46 : x
  2. Step 2: Convert to fraction form
    1,268.24/1,904.10 = 652.46/x
  3. Step 3: Cross multiply
    1,268.24x = 1,904.10 × 652.46
  4. Step 4: Simplify right side
    1,268.24x = 1,242,349.09
  5. Step 5: Solve for x
    x = 1,242,349.09/1,268.24
  6. Step 6: Final answer
    x = 979.59

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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.