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Finding the Fourth Proportional to 1,037, 1,431.06 and 761.48

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Solution

The fourth proportional to 1,037, 1,431.06 and 761.48 is: 1,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037 : 1,431.06 = 761.48 : x
  2. Step 2: Convert to fraction form
    1,037/1,431.06 = 761.48/x
  3. Step 3: Cross multiply
    1,037x = 1,431.06 × 761.48
  4. Step 4: Simplify right side
    1,037x = 1,089,723.57
  5. Step 5: Solve for x
    x = 1,089,723.57/1,037
  6. Step 6: Final answer
    x = 1,050.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.