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Finding the Fourth Proportional to 1,729.23, 2,593.89 and 430.71

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Solution

The fourth proportional to 1,729.23, 2,593.89 and 430.71 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.23 : 2,593.89 = 430.71 : x
  2. Step 2: Convert to fraction form
    1,729.23/2,593.89 = 430.71/x
  3. Step 3: Cross multiply
    1,729.23x = 2,593.89 × 430.71
  4. Step 4: Simplify right side
    1,729.23x = 1,117,214.36
  5. Step 5: Solve for x
    x = 1,117,214.36/1,729.23
  6. Step 6: Final answer
    x = 646.08

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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.