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Finding the Fourth Proportional to 1,428.83, 1,970.90 and 980.50

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Solution

The fourth proportional to 1,428.83, 1,970.90 and 980.50 is: 1,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.83 : 1,970.90 = 980.50 : x
  2. Step 2: Convert to fraction form
    1,428.83/1,970.90 = 980.50/x
  3. Step 3: Cross multiply
    1,428.83x = 1,970.90 × 980.50
  4. Step 4: Simplify right side
    1,428.83x = 1,932,460.05
  5. Step 5: Solve for x
    x = 1,932,460.05/1,428.83
  6. Step 6: Final answer
    x = 1,352.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.