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Finding the Fourth Proportional to 942.94, 1,301.28 and 517.59

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Solution

The fourth proportional to 942.94, 1,301.28 and 517.59 is: 714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,301.28 = 517.59 : x
  2. Step 2: Convert to fraction form
    942.94/1,301.28 = 517.59/x
  3. Step 3: Cross multiply
    942.94x = 1,301.28 × 517.59
  4. Step 4: Simplify right side
    942.94x = 673,529.52
  5. Step 5: Solve for x
    x = 673,529.52/942.94
  6. Step 6: Final answer
    x = 714.29

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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.