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Finding the Fourth Proportional to 1,431.81, 2,147.85 and 507.27

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Solution

The fourth proportional to 1,431.81, 2,147.85 and 507.27 is: 760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.81 : 2,147.85 = 507.27 : x
  2. Step 2: Convert to fraction form
    1,431.81/2,147.85 = 507.27/x
  3. Step 3: Cross multiply
    1,431.81x = 2,147.85 × 507.27
  4. Step 4: Simplify right side
    1,431.81x = 1,089,539.87
  5. Step 5: Solve for x
    x = 1,089,539.87/1,431.81
  6. Step 6: Final answer
    x = 760.95

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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.