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Finding the Fourth Proportional to 1,258.79, 1,735.17 and 1,072.22

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Solution

The fourth proportional to 1,258.79, 1,735.17 and 1,072.22 is: 1,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.79 : 1,735.17 = 1,072.22 : x
  2. Step 2: Convert to fraction form
    1,258.79/1,735.17 = 1,072.22/x
  3. Step 3: Cross multiply
    1,258.79x = 1,735.17 × 1,072.22
  4. Step 4: Simplify right side
    1,258.79x = 1,860,475.30
  5. Step 5: Solve for x
    x = 1,860,475.30/1,258.79
  6. Step 6: Final answer
    x = 1,477.99

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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.