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Finding the Fourth Proportional to 1,263.76, 1,895.19 and 386.22

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Solution

The fourth proportional to 1,263.76, 1,895.19 and 386.22 is: 579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.76 : 1,895.19 = 386.22 : x
  2. Step 2: Convert to fraction form
    1,263.76/1,895.19 = 386.22/x
  3. Step 3: Cross multiply
    1,263.76x = 1,895.19 × 386.22
  4. Step 4: Simplify right side
    1,263.76x = 731,960.28
  5. Step 5: Solve for x
    x = 731,960.28/1,263.76
  6. Step 6: Final answer
    x = 579.19

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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.