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Finding the Fourth Proportional to 1,151.98, 1,728.24 and 421.57

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Solution

The fourth proportional to 1,151.98, 1,728.24 and 421.57 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.98 : 1,728.24 = 421.57 : x
  2. Step 2: Convert to fraction form
    1,151.98/1,728.24 = 421.57/x
  3. Step 3: Cross multiply
    1,151.98x = 1,728.24 × 421.57
  4. Step 4: Simplify right side
    1,151.98x = 728,574.14
  5. Step 5: Solve for x
    x = 728,574.14/1,151.98
  6. Step 6: Final answer
    x = 632.45

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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.