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Finding the Fourth Proportional to 937.85, 1,406.26 and 782.94

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Solution

The fourth proportional to 937.85, 1,406.26 and 782.94 is: 1,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.85 : 1,406.26 = 782.94 : x
  2. Step 2: Convert to fraction form
    937.85/1,406.26 = 782.94/x
  3. Step 3: Cross multiply
    937.85x = 1,406.26 × 782.94
  4. Step 4: Simplify right side
    937.85x = 1,101,017.20
  5. Step 5: Solve for x
    x = 1,101,017.20/937.85
  6. Step 6: Final answer
    x = 1,173.98

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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.