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Finding the Fourth Proportional to 937.56, 1,406.34 and 649.20

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Solution

The fourth proportional to 937.56, 1,406.34 and 649.20 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.56 : 1,406.34 = 649.20 : x
  2. Step 2: Convert to fraction form
    937.56/1,406.34 = 649.20/x
  3. Step 3: Cross multiply
    937.56x = 1,406.34 × 649.20
  4. Step 4: Simplify right side
    937.56x = 912,995.93
  5. Step 5: Solve for x
    x = 912,995.93/937.56
  6. Step 6: Final answer
    x = 973.80

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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.