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Finding the Fourth Proportional to 937.42, 1,406.13 and 525.94

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Solution

The fourth proportional to 937.42, 1,406.13 and 525.94 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.42 : 1,406.13 = 525.94 : x
  2. Step 2: Convert to fraction form
    937.42/1,406.13 = 525.94/x
  3. Step 3: Cross multiply
    937.42x = 1,406.13 × 525.94
  4. Step 4: Simplify right side
    937.42x = 739,540.01
  5. Step 5: Solve for x
    x = 739,540.01/937.42
  6. Step 6: Final answer
    x = 788.91

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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.