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Finding the Fourth Proportional to 1,376.23, 2,064.31 and 646.32

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Solution

The fourth proportional to 1,376.23, 2,064.31 and 646.32 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.23 : 2,064.31 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,376.23/2,064.31 = 646.32/x
  3. Step 3: Cross multiply
    1,376.23x = 2,064.31 × 646.32
  4. Step 4: Simplify right side
    1,376.23x = 1,334,204.84
  5. Step 5: Solve for x
    x = 1,334,204.84/1,376.23
  6. Step 6: Final answer
    x = 969.46

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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.