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Finding the Fourth Proportional to 1,014.49, 1,399.92 and 594.51

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Solution

The fourth proportional to 1,014.49, 1,399.92 and 594.51 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.49 : 1,399.92 = 594.51 : x
  2. Step 2: Convert to fraction form
    1,014.49/1,399.92 = 594.51/x
  3. Step 3: Cross multiply
    1,014.49x = 1,399.92 × 594.51
  4. Step 4: Simplify right side
    1,014.49x = 832,258.96
  5. Step 5: Solve for x
    x = 832,258.96/1,014.49
  6. Step 6: Final answer
    x = 820.37

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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.