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Finding the Fourth Proportional to 1,055.22, 1,456.83 and 701.64

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Solution

The fourth proportional to 1,055.22, 1,456.83 and 701.64 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.22 : 1,456.83 = 701.64 : x
  2. Step 2: Convert to fraction form
    1,055.22/1,456.83 = 701.64/x
  3. Step 3: Cross multiply
    1,055.22x = 1,456.83 × 701.64
  4. Step 4: Simplify right side
    1,055.22x = 1,022,170.20
  5. Step 5: Solve for x
    x = 1,022,170.20/1,055.22
  6. Step 6: Final answer
    x = 968.68

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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.