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Finding the Fourth Proportional to 937.70, 1,407.41 and 475.80

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Solution

The fourth proportional to 937.70, 1,407.41 and 475.80 is: 714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.70 : 1,407.41 = 475.80 : x
  2. Step 2: Convert to fraction form
    937.70/1,407.41 = 475.80/x
  3. Step 3: Cross multiply
    937.70x = 1,407.41 × 475.80
  4. Step 4: Simplify right side
    937.70x = 669,643.30
  5. Step 5: Solve for x
    x = 669,643.30/937.70
  6. Step 6: Final answer
    x = 714.14

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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.