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Finding the Fourth Proportional to 1,152.10, 1,728.26 and 372.22

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Solution

The fourth proportional to 1,152.10, 1,728.26 and 372.22 is: 558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.10 : 1,728.26 = 372.22 : x
  2. Step 2: Convert to fraction form
    1,152.10/1,728.26 = 372.22/x
  3. Step 3: Cross multiply
    1,152.10x = 1,728.26 × 372.22
  4. Step 4: Simplify right side
    1,152.10x = 643,292.94
  5. Step 5: Solve for x
    x = 643,292.94/1,152.10
  6. Step 6: Final answer
    x = 558.37

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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.