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Finding the Fourth Proportional to 1,265.97, 1,894.64 and 1,060.77

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Solution

The fourth proportional to 1,265.97, 1,894.64 and 1,060.77 is: 1,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.97 : 1,894.64 = 1,060.77 : x
  2. Step 2: Convert to fraction form
    1,265.97/1,894.64 = 1,060.77/x
  3. Step 3: Cross multiply
    1,265.97x = 1,894.64 × 1,060.77
  4. Step 4: Simplify right side
    1,265.97x = 2,009,771.97
  5. Step 5: Solve for x
    x = 2,009,771.97/1,265.97
  6. Step 6: Final answer
    x = 1,587.54

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Why These Related Problems?

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