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Finding the Fourth Proportional to 942.51, 1,414.19 and 509.16

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Solution

The fourth proportional to 942.51, 1,414.19 and 509.16 is: 763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.51 : 1,414.19 = 509.16 : x
  2. Step 2: Convert to fraction form
    942.51/1,414.19 = 509.16/x
  3. Step 3: Cross multiply
    942.51x = 1,414.19 × 509.16
  4. Step 4: Simplify right side
    942.51x = 720,048.98
  5. Step 5: Solve for x
    x = 720,048.98/942.51
  6. Step 6: Final answer
    x = 763.97

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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.