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Finding the Fourth Proportional to 937.44, 1,406.70 and 504.90

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Solution

The fourth proportional to 937.44, 1,406.70 and 504.90 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,406.70 = 504.90 : x
  2. Step 2: Convert to fraction form
    937.44/1,406.70 = 504.90/x
  3. Step 3: Cross multiply
    937.44x = 1,406.70 × 504.90
  4. Step 4: Simplify right side
    937.44x = 710,242.83
  5. Step 5: Solve for x
    x = 710,242.83/937.44
  6. Step 6: Final answer
    x = 757.64

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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.