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Finding the Fourth Proportional to 914.43, 1,371.65 and 776.53

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Solution

The fourth proportional to 914.43, 1,371.65 and 776.53 is: 1,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.43 : 1,371.65 = 776.53 : x
  2. Step 2: Convert to fraction form
    914.43/1,371.65 = 776.53/x
  3. Step 3: Cross multiply
    914.43x = 1,371.65 × 776.53
  4. Step 4: Simplify right side
    914.43x = 1,065,120.06
  5. Step 5: Solve for x
    x = 1,065,120.06/914.43
  6. Step 6: Final answer
    x = 1,164.79

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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.