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Finding the Fourth Proportional to 1,151.04, 1,726.33 and 957.29

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Solution

The fourth proportional to 1,151.04, 1,726.33 and 957.29 is: 1,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.04 : 1,726.33 = 957.29 : x
  2. Step 2: Convert to fraction form
    1,151.04/1,726.33 = 957.29/x
  3. Step 3: Cross multiply
    1,151.04x = 1,726.33 × 957.29
  4. Step 4: Simplify right side
    1,151.04x = 1,652,588.82
  5. Step 5: Solve for x
    x = 1,652,588.82/1,151.04
  6. Step 6: Final answer
    x = 1,435.73

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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.