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Finding the Fourth Proportional to 937.90, 1,405.09 and 784.81

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Solution

The fourth proportional to 937.90, 1,405.09 and 784.81 is: 1,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.90 : 1,405.09 = 784.81 : x
  2. Step 2: Convert to fraction form
    937.90/1,405.09 = 784.81/x
  3. Step 3: Cross multiply
    937.90x = 1,405.09 × 784.81
  4. Step 4: Simplify right side
    937.90x = 1,102,728.68
  5. Step 5: Solve for x
    x = 1,102,728.68/937.90
  6. Step 6: Final answer
    x = 1,175.74

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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.