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Finding the Fourth Proportional to 1,430.83, 2,146.76 and 506.15

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Solution

The fourth proportional to 1,430.83, 2,146.76 and 506.15 is: 759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.83 : 2,146.76 = 506.15 : x
  2. Step 2: Convert to fraction form
    1,430.83/2,146.76 = 506.15/x
  3. Step 3: Cross multiply
    1,430.83x = 2,146.76 × 506.15
  4. Step 4: Simplify right side
    1,430.83x = 1,086,580.04
  5. Step 5: Solve for x
    x = 1,086,580.04/1,430.83
  6. Step 6: Final answer
    x = 759.41

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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.