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Finding the Fourth Proportional to 1,258.95, 1,739.49 and 1,214.58

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Solution

The fourth proportional to 1,258.95, 1,739.49 and 1,214.58 is: 1,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.95 : 1,739.49 = 1,214.58 : x
  2. Step 2: Convert to fraction form
    1,258.95/1,739.49 = 1,214.58/x
  3. Step 3: Cross multiply
    1,258.95x = 1,739.49 × 1,214.58
  4. Step 4: Simplify right side
    1,258.95x = 2,112,749.76
  5. Step 5: Solve for x
    x = 2,112,749.76/1,258.95
  6. Step 6: Final answer
    x = 1,678.18

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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.