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Finding the Fourth Proportional to 1,128.41, 1,556.98 and 656.36

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Solution

The fourth proportional to 1,128.41, 1,556.98 and 656.36 is: 905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.41 : 1,556.98 = 656.36 : x
  2. Step 2: Convert to fraction form
    1,128.41/1,556.98 = 656.36/x
  3. Step 3: Cross multiply
    1,128.41x = 1,556.98 × 656.36
  4. Step 4: Simplify right side
    1,128.41x = 1,021,939.39
  5. Step 5: Solve for x
    x = 1,021,939.39/1,128.41
  6. Step 6: Final answer
    x = 905.65

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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.