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Finding the Fourth Proportional to 937.70, 1,406.96 and 504.35

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Solution

The fourth proportional to 937.70, 1,406.96 and 504.35 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.70 : 1,406.96 = 504.35 : x
  2. Step 2: Convert to fraction form
    937.70/1,406.96 = 504.35/x
  3. Step 3: Cross multiply
    937.70x = 1,406.96 × 504.35
  4. Step 4: Simplify right side
    937.70x = 709,590.72
  5. Step 5: Solve for x
    x = 709,590.72/937.70
  6. Step 6: Final answer
    x = 756.74

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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.