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Finding the Fourth Proportional to 1,728.57, 2,592.86 and 430.04

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Solution

The fourth proportional to 1,728.57, 2,592.86 and 430.04 is: 645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.57 : 2,592.86 = 430.04 : x
  2. Step 2: Convert to fraction form
    1,728.57/2,592.86 = 430.04/x
  3. Step 3: Cross multiply
    1,728.57x = 2,592.86 × 430.04
  4. Step 4: Simplify right side
    1,728.57x = 1,115,031.76
  5. Step 5: Solve for x
    x = 1,115,031.76/1,728.57
  6. Step 6: Final answer
    x = 645.06

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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.