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Finding the Fourth Proportional to 1,428.53, 2,140.35 and 779.72

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Solution

The fourth proportional to 1,428.53, 2,140.35 and 779.72 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.53 : 2,140.35 = 779.72 : x
  2. Step 2: Convert to fraction form
    1,428.53/2,140.35 = 779.72/x
  3. Step 3: Cross multiply
    1,428.53x = 2,140.35 × 779.72
  4. Step 4: Simplify right side
    1,428.53x = 1,668,873.70
  5. Step 5: Solve for x
    x = 1,668,873.70/1,428.53
  6. Step 6: Final answer
    x = 1,168.25

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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.