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Finding the Fourth Proportional to 1,431.63, 2,147.60 and 507.43

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Solution

The fourth proportional to 1,431.63, 2,147.60 and 507.43 is: 761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.63 : 2,147.60 = 507.43 : x
  2. Step 2: Convert to fraction form
    1,431.63/2,147.60 = 507.43/x
  3. Step 3: Cross multiply
    1,431.63x = 2,147.60 × 507.43
  4. Step 4: Simplify right side
    1,431.63x = 1,089,756.67
  5. Step 5: Solve for x
    x = 1,089,756.67/1,431.63
  6. Step 6: Final answer
    x = 761.20

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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.