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Finding the Fourth Proportional to 1,101.78, 1,653.14 and 955.67

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Solution

The fourth proportional to 1,101.78, 1,653.14 and 955.67 is: 1,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.78 : 1,653.14 = 955.67 : x
  2. Step 2: Convert to fraction form
    1,101.78/1,653.14 = 955.67/x
  3. Step 3: Cross multiply
    1,101.78x = 1,653.14 × 955.67
  4. Step 4: Simplify right side
    1,101.78x = 1,579,850.43
  5. Step 5: Solve for x
    x = 1,579,850.43/1,101.78
  6. Step 6: Final answer
    x = 1,433.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.