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Finding the Fourth Proportional to 1,152.45, 1,728.57 and 422.13

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Solution

The fourth proportional to 1,152.45, 1,728.57 and 422.13 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.45 : 1,728.57 = 422.13 : x
  2. Step 2: Convert to fraction form
    1,152.45/1,728.57 = 422.13/x
  3. Step 3: Cross multiply
    1,152.45x = 1,728.57 × 422.13
  4. Step 4: Simplify right side
    1,152.45x = 729,681.25
  5. Step 5: Solve for x
    x = 729,681.25/1,152.45
  6. Step 6: Final answer
    x = 633.16

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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.