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Finding the Fourth Proportional to 1,368.01, 1,887.81 and 770.54

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Solution

The fourth proportional to 1,368.01, 1,887.81 and 770.54 is: 1,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.01 : 1,887.81 = 770.54 : x
  2. Step 2: Convert to fraction form
    1,368.01/1,887.81 = 770.54/x
  3. Step 3: Cross multiply
    1,368.01x = 1,887.81 × 770.54
  4. Step 4: Simplify right side
    1,368.01x = 1,454,625.12
  5. Step 5: Solve for x
    x = 1,454,625.12/1,368.01
  6. Step 6: Final answer
    x = 1,063.31

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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.