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Finding the Fourth Proportional to 938.18, 1,406.77 and 521.84

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Solution

The fourth proportional to 938.18, 1,406.77 and 521.84 is: 782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.18 : 1,406.77 = 521.84 : x
  2. Step 2: Convert to fraction form
    938.18/1,406.77 = 521.84/x
  3. Step 3: Cross multiply
    938.18x = 1,406.77 × 521.84
  4. Step 4: Simplify right side
    938.18x = 734,111.07
  5. Step 5: Solve for x
    x = 734,111.07/938.18
  6. Step 6: Final answer
    x = 782.48

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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.