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Finding the Fourth Proportional to 1,128.65, 1,556.97 and 656.46

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Solution

The fourth proportional to 1,128.65, 1,556.97 and 656.46 is: 905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.65 : 1,556.97 = 656.46 : x
  2. Step 2: Convert to fraction form
    1,128.65/1,556.97 = 656.46/x
  3. Step 3: Cross multiply
    1,128.65x = 1,556.97 × 656.46
  4. Step 4: Simplify right side
    1,128.65x = 1,022,088.53
  5. Step 5: Solve for x
    x = 1,022,088.53/1,128.65
  6. Step 6: Final answer
    x = 905.59

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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.