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Finding the Fourth Proportional to 937.63, 1,406.86 and 504.28

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Solution

The fourth proportional to 937.63, 1,406.86 and 504.28 is: 756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.63 : 1,406.86 = 504.28 : x
  2. Step 2: Convert to fraction form
    937.63/1,406.86 = 504.28/x
  3. Step 3: Cross multiply
    937.63x = 1,406.86 × 504.28
  4. Step 4: Simplify right side
    937.63x = 709,451.36
  5. Step 5: Solve for x
    x = 709,451.36/937.63
  6. Step 6: Final answer
    x = 756.64

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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.