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Finding the Fourth Proportional to 1,256.76, 1,734.54 and 733.08

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Solution

The fourth proportional to 1,256.76, 1,734.54 and 733.08 is: 1,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.76 : 1,734.54 = 733.08 : x
  2. Step 2: Convert to fraction form
    1,256.76/1,734.54 = 733.08/x
  3. Step 3: Cross multiply
    1,256.76x = 1,734.54 × 733.08
  4. Step 4: Simplify right side
    1,256.76x = 1,271,556.58
  5. Step 5: Solve for x
    x = 1,271,556.58/1,256.76
  6. Step 6: Final answer
    x = 1,011.77

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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.