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Finding the Fourth Proportional to 1,252.53, 1,878.80 and 328.09

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Solution

The fourth proportional to 1,252.53, 1,878.80 and 328.09 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.53 : 1,878.80 = 328.09 : x
  2. Step 2: Convert to fraction form
    1,252.53/1,878.80 = 328.09/x
  3. Step 3: Cross multiply
    1,252.53x = 1,878.80 × 328.09
  4. Step 4: Simplify right side
    1,252.53x = 616,415.49
  5. Step 5: Solve for x
    x = 616,415.49/1,252.53
  6. Step 6: Final answer
    x = 492.14

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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.