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Finding the Fourth Proportional to 1,151.40, 1,726.98 and 329.64

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Solution

The fourth proportional to 1,151.40, 1,726.98 and 329.64 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.40 : 1,726.98 = 329.64 : x
  2. Step 2: Convert to fraction form
    1,151.40/1,726.98 = 329.64/x
  3. Step 3: Cross multiply
    1,151.40x = 1,726.98 × 329.64
  4. Step 4: Simplify right side
    1,151.40x = 569,281.69
  5. Step 5: Solve for x
    x = 569,281.69/1,151.40
  6. Step 6: Final answer
    x = 494.43

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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.