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Finding the Fourth Proportional to 1,128.74, 1,684.76 and 1,059.48

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Solution

The fourth proportional to 1,128.74, 1,684.76 and 1,059.48 is: 1,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.74 : 1,684.76 = 1,059.48 : x
  2. Step 2: Convert to fraction form
    1,128.74/1,684.76 = 1,059.48/x
  3. Step 3: Cross multiply
    1,128.74x = 1,684.76 × 1,059.48
  4. Step 4: Simplify right side
    1,128.74x = 1,784,964.23
  5. Step 5: Solve for x
    x = 1,784,964.23/1,128.74
  6. Step 6: Final answer
    x = 1,581.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.