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Finding the Fourth Proportional to 1,128.12, 1,556.88 and 686.04

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Solution

The fourth proportional to 1,128.12, 1,556.88 and 686.04 is: 946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.12 : 1,556.88 = 686.04 : x
  2. Step 2: Convert to fraction form
    1,128.12/1,556.88 = 686.04/x
  3. Step 3: Cross multiply
    1,128.12x = 1,556.88 × 686.04
  4. Step 4: Simplify right side
    1,128.12x = 1,068,081.96
  5. Step 5: Solve for x
    x = 1,068,081.96/1,128.12
  6. Step 6: Final answer
    x = 946.78

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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.