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Finding the Fourth Proportional to 1,128.70, 1,556.60 and 709.09

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Solution

The fourth proportional to 1,128.70, 1,556.60 and 709.09 is: 977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.70 : 1,556.60 = 709.09 : x
  2. Step 2: Convert to fraction form
    1,128.70/1,556.60 = 709.09/x
  3. Step 3: Cross multiply
    1,128.70x = 1,556.60 × 709.09
  4. Step 4: Simplify right side
    1,128.70x = 1,103,769.49
  5. Step 5: Solve for x
    x = 1,103,769.49/1,128.70
  6. Step 6: Final answer
    x = 977.91

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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.