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Finding the Fourth Proportional to 1,131.23, 1,561.64 and 777.05

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Solution

The fourth proportional to 1,131.23, 1,561.64 and 777.05 is: 1,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.23 : 1,561.64 = 777.05 : x
  2. Step 2: Convert to fraction form
    1,131.23/1,561.64 = 777.05/x
  3. Step 3: Cross multiply
    1,131.23x = 1,561.64 × 777.05
  4. Step 4: Simplify right side
    1,131.23x = 1,213,466.50
  5. Step 5: Solve for x
    x = 1,213,466.50/1,131.23
  6. Step 6: Final answer
    x = 1,072.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.