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Finding the Fourth Proportional to 1,300.89, 1,795.23 and 741.33

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Solution

The fourth proportional to 1,300.89, 1,795.23 and 741.33 is: 1,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.89 : 1,795.23 = 741.33 : x
  2. Step 2: Convert to fraction form
    1,300.89/1,795.23 = 741.33/x
  3. Step 3: Cross multiply
    1,300.89x = 1,795.23 × 741.33
  4. Step 4: Simplify right side
    1,300.89x = 1,330,857.86
  5. Step 5: Solve for x
    x = 1,330,857.86/1,300.89
  6. Step 6: Final answer
    x = 1,023.04

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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.