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Finding the Fourth Proportional to 1,253, 1,724.28 and 957.08

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Solution

The fourth proportional to 1,253, 1,724.28 and 957.08 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253 : 1,724.28 = 957.08 : x
  2. Step 2: Convert to fraction form
    1,253/1,724.28 = 957.08/x
  3. Step 3: Cross multiply
    1,253x = 1,724.28 × 957.08
  4. Step 4: Simplify right side
    1,253x = 1,650,273.90
  5. Step 5: Solve for x
    x = 1,650,273.90/1,253
  6. Step 6: Final answer
    x = 1,317.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.