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Finding the Fourth Proportional to 1,386.03, 1,912.72 and 765.03

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Solution

The fourth proportional to 1,386.03, 1,912.72 and 765.03 is: 1,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.03 : 1,912.72 = 765.03 : x
  2. Step 2: Convert to fraction form
    1,386.03/1,912.72 = 765.03/x
  3. Step 3: Cross multiply
    1,386.03x = 1,912.72 × 765.03
  4. Step 4: Simplify right side
    1,386.03x = 1,463,288.18
  5. Step 5: Solve for x
    x = 1,463,288.18/1,386.03
  6. Step 6: Final answer
    x = 1,055.74

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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.