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Finding the Fourth Proportional to 1,055.80, 1,455.64 and 682.12

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Solution

The fourth proportional to 1,055.80, 1,455.64 and 682.12 is: 940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.80 : 1,455.64 = 682.12 : x
  2. Step 2: Convert to fraction form
    1,055.80/1,455.64 = 682.12/x
  3. Step 3: Cross multiply
    1,055.80x = 1,455.64 × 682.12
  4. Step 4: Simplify right side
    1,055.80x = 992,921.16
  5. Step 5: Solve for x
    x = 992,921.16/1,055.80
  6. Step 6: Final answer
    x = 940.44

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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.