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Finding the Fourth Proportional to 1,728.69, 2,592.99 and 430.16

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Solution

The fourth proportional to 1,728.69, 2,592.99 and 430.16 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.69 : 2,592.99 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,728.69/2,592.99 = 430.16/x
  3. Step 3: Cross multiply
    1,728.69x = 2,592.99 × 430.16
  4. Step 4: Simplify right side
    1,728.69x = 1,115,387.61
  5. Step 5: Solve for x
    x = 1,115,387.61/1,728.69
  6. Step 6: Final answer
    x = 645.22

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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.