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Finding the Fourth Proportional to 936.41, 1,292.34 and 538.13

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Solution

The fourth proportional to 936.41, 1,292.34 and 538.13 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.41 : 1,292.34 = 538.13 : x
  2. Step 2: Convert to fraction form
    936.41/1,292.34 = 538.13/x
  3. Step 3: Cross multiply
    936.41x = 1,292.34 × 538.13
  4. Step 4: Simplify right side
    936.41x = 695,444.23
  5. Step 5: Solve for x
    x = 695,444.23/936.41
  6. Step 6: Final answer
    x = 742.67

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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.