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Finding the Fourth Proportional to 1,152.48, 1,728.98 and 422.06

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Solution

The fourth proportional to 1,152.48, 1,728.98 and 422.06 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.48 : 1,728.98 = 422.06 : x
  2. Step 2: Convert to fraction form
    1,152.48/1,728.98 = 422.06/x
  3. Step 3: Cross multiply
    1,152.48x = 1,728.98 × 422.06
  4. Step 4: Simplify right side
    1,152.48x = 729,733.30
  5. Step 5: Solve for x
    x = 729,733.30/1,152.48
  6. Step 6: Final answer
    x = 633.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.