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Finding the Fourth Proportional to 1,054.89, 1,454.39 and 865.14

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Solution

The fourth proportional to 1,054.89, 1,454.39 and 865.14 is: 1,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.89 : 1,454.39 = 865.14 : x
  2. Step 2: Convert to fraction form
    1,054.89/1,454.39 = 865.14/x
  3. Step 3: Cross multiply
    1,054.89x = 1,454.39 × 865.14
  4. Step 4: Simplify right side
    1,054.89x = 1,258,244.43
  5. Step 5: Solve for x
    x = 1,258,244.43/1,054.89
  6. Step 6: Final answer
    x = 1,192.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.