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Finding the Fourth Proportional to 1,055.07, 1,455.48 and 682.37

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Solution

The fourth proportional to 1,055.07, 1,455.48 and 682.37 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.07 : 1,455.48 = 682.37 : x
  2. Step 2: Convert to fraction form
    1,055.07/1,455.48 = 682.37/x
  3. Step 3: Cross multiply
    1,055.07x = 1,455.48 × 682.37
  4. Step 4: Simplify right side
    1,055.07x = 993,175.89
  5. Step 5: Solve for x
    x = 993,175.89/1,055.07
  6. Step 6: Final answer
    x = 941.34

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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.