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Finding the Fourth Proportional to 1,035.19, 1,428.05 and 961.07

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Solution

The fourth proportional to 1,035.19, 1,428.05 and 961.07 is: 1,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.19 : 1,428.05 = 961.07 : x
  2. Step 2: Convert to fraction form
    1,035.19/1,428.05 = 961.07/x
  3. Step 3: Cross multiply
    1,035.19x = 1,428.05 × 961.07
  4. Step 4: Simplify right side
    1,035.19x = 1,372,451.21
  5. Step 5: Solve for x
    x = 1,372,451.21/1,035.19
  6. Step 6: Final answer
    x = 1,325.80

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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.