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Finding the Fourth Proportional to 1,128.06, 1,556.82 and 686.03

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Solution

The fourth proportional to 1,128.06, 1,556.82 and 686.03 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.06 : 1,556.82 = 686.03 : x
  2. Step 2: Convert to fraction form
    1,128.06/1,556.82 = 686.03/x
  3. Step 3: Cross multiply
    1,128.06x = 1,556.82 × 686.03
  4. Step 4: Simplify right side
    1,128.06x = 1,068,017.44
  5. Step 5: Solve for x
    x = 1,068,017.44/1,128.06
  6. Step 6: Final answer
    x = 946.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.