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Finding the Fourth Proportional to 1,267.36, 1,746.57 and 1,015

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Solution

The fourth proportional to 1,267.36, 1,746.57 and 1,015 is: 1,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.36 : 1,746.57 = 1,015 : x
  2. Step 2: Convert to fraction form
    1,267.36/1,746.57 = 1,015/x
  3. Step 3: Cross multiply
    1,267.36x = 1,746.57 × 1,015
  4. Step 4: Simplify right side
    1,267.36x = 1,772,768.55
  5. Step 5: Solve for x
    x = 1,772,768.55/1,267.36
  6. Step 6: Final answer
    x = 1,398.79

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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.