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Finding the Fourth Proportional to 942.38, 1,415.19 and 509.84

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Solution

The fourth proportional to 942.38, 1,415.19 and 509.84 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.38 : 1,415.19 = 509.84 : x
  2. Step 2: Convert to fraction form
    942.38/1,415.19 = 509.84/x
  3. Step 3: Cross multiply
    942.38x = 1,415.19 × 509.84
  4. Step 4: Simplify right side
    942.38x = 721,520.47
  5. Step 5: Solve for x
    x = 721,520.47/942.38
  6. Step 6: Final answer
    x = 765.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.