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Finding the Fourth Proportional to 1,430.89, 2,145.78 and 506.27

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Solution

The fourth proportional to 1,430.89, 2,145.78 and 506.27 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.89 : 2,145.78 = 506.27 : x
  2. Step 2: Convert to fraction form
    1,430.89/2,145.78 = 506.27/x
  3. Step 3: Cross multiply
    1,430.89x = 2,145.78 × 506.27
  4. Step 4: Simplify right side
    1,430.89x = 1,086,349.41
  5. Step 5: Solve for x
    x = 1,086,349.41/1,430.89
  6. Step 6: Final answer
    x = 759.21

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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.