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Finding the Fourth Proportional to 1,161.55, 1,741.94 and 976.51

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Solution

The fourth proportional to 1,161.55, 1,741.94 and 976.51 is: 1,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.55 : 1,741.94 = 976.51 : x
  2. Step 2: Convert to fraction form
    1,161.55/1,741.94 = 976.51/x
  3. Step 3: Cross multiply
    1,161.55x = 1,741.94 × 976.51
  4. Step 4: Simplify right side
    1,161.55x = 1,701,008.24
  5. Step 5: Solve for x
    x = 1,701,008.24/1,161.55
  6. Step 6: Final answer
    x = 1,464.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.