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Finding the Fourth Proportional to 1,300.56, 1,794.75 and 733.34

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Solution

The fourth proportional to 1,300.56, 1,794.75 and 733.34 is: 1,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.56 : 1,794.75 = 733.34 : x
  2. Step 2: Convert to fraction form
    1,300.56/1,794.75 = 733.34/x
  3. Step 3: Cross multiply
    1,300.56x = 1,794.75 × 733.34
  4. Step 4: Simplify right side
    1,300.56x = 1,316,161.97
  5. Step 5: Solve for x
    x = 1,316,161.97/1,300.56
  6. Step 6: Final answer
    x = 1,012.00

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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.