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Finding the Fourth Proportional to 1,430.59, 2,146.20 and 443.41

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Solution

The fourth proportional to 1,430.59, 2,146.20 and 443.41 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.59 : 2,146.20 = 443.41 : x
  2. Step 2: Convert to fraction form
    1,430.59/2,146.20 = 443.41/x
  3. Step 3: Cross multiply
    1,430.59x = 2,146.20 × 443.41
  4. Step 4: Simplify right side
    1,430.59x = 951,646.54
  5. Step 5: Solve for x
    x = 951,646.54/1,430.59
  6. Step 6: Final answer
    x = 665.21

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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.