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Finding the Fourth Proportional to 1,096.78, 1,513.20 and 746.86

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Solution

The fourth proportional to 1,096.78, 1,513.20 and 746.86 is: 1,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.78 : 1,513.20 = 746.86 : x
  2. Step 2: Convert to fraction form
    1,096.78/1,513.20 = 746.86/x
  3. Step 3: Cross multiply
    1,096.78x = 1,513.20 × 746.86
  4. Step 4: Simplify right side
    1,096.78x = 1,130,148.55
  5. Step 5: Solve for x
    x = 1,130,148.55/1,096.78
  6. Step 6: Final answer
    x = 1,030.42

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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.