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Finding the Fourth Proportional to 1,132.18, 1,561.37 and 777.48

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Solution

The fourth proportional to 1,132.18, 1,561.37 and 777.48 is: 1,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.18 : 1,561.37 = 777.48 : x
  2. Step 2: Convert to fraction form
    1,132.18/1,561.37 = 777.48/x
  3. Step 3: Cross multiply
    1,132.18x = 1,561.37 × 777.48
  4. Step 4: Simplify right side
    1,132.18x = 1,213,933.95
  5. Step 5: Solve for x
    x = 1,213,933.95/1,132.18
  6. Step 6: Final answer
    x = 1,072.21

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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.