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Finding the Fourth Proportional to 1,265.76, 1,746.09 and 845.64

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Solution

The fourth proportional to 1,265.76, 1,746.09 and 845.64 is: 1,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,746.09 = 845.64 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,746.09 = 845.64/x
  3. Step 3: Cross multiply
    1,265.76x = 1,746.09 × 845.64
  4. Step 4: Simplify right side
    1,265.76x = 1,476,563.55
  5. Step 5: Solve for x
    x = 1,476,563.55/1,265.76
  6. Step 6: Final answer
    x = 1,166.54

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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.