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Finding the Fourth Proportional to 1,376.39, 2,065.26 and 646.02

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Solution

The fourth proportional to 1,376.39, 2,065.26 and 646.02 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.39 : 2,065.26 = 646.02 : x
  2. Step 2: Convert to fraction form
    1,376.39/2,065.26 = 646.02/x
  3. Step 3: Cross multiply
    1,376.39x = 2,065.26 × 646.02
  4. Step 4: Simplify right side
    1,376.39x = 1,334,199.27
  5. Step 5: Solve for x
    x = 1,334,199.27/1,376.39
  6. Step 6: Final answer
    x = 969.35

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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.