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Finding the Fourth Proportional to 1,151.12, 1,726.74 and 421.16

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Solution

The fourth proportional to 1,151.12, 1,726.74 and 421.16 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.12 : 1,726.74 = 421.16 : x
  2. Step 2: Convert to fraction form
    1,151.12/1,726.74 = 421.16/x
  3. Step 3: Cross multiply
    1,151.12x = 1,726.74 × 421.16
  4. Step 4: Simplify right side
    1,151.12x = 727,233.82
  5. Step 5: Solve for x
    x = 727,233.82/1,151.12
  6. Step 6: Final answer
    x = 631.76

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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.