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Finding the Fourth Proportional to 1,207.24, 1,665.78 and 741.64

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Solution

The fourth proportional to 1,207.24, 1,665.78 and 741.64 is: 1,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.24 : 1,665.78 = 741.64 : x
  2. Step 2: Convert to fraction form
    1,207.24/1,665.78 = 741.64/x
  3. Step 3: Cross multiply
    1,207.24x = 1,665.78 × 741.64
  4. Step 4: Simplify right side
    1,207.24x = 1,235,409.08
  5. Step 5: Solve for x
    x = 1,235,409.08/1,207.24
  6. Step 6: Final answer
    x = 1,023.33

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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.