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Finding the Fourth Proportional to 1,257.54, 1,735.47 and 946.50

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Solution

The fourth proportional to 1,257.54, 1,735.47 and 946.50 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.54 : 1,735.47 = 946.50 : x
  2. Step 2: Convert to fraction form
    1,257.54/1,735.47 = 946.50/x
  3. Step 3: Cross multiply
    1,257.54x = 1,735.47 × 946.50
  4. Step 4: Simplify right side
    1,257.54x = 1,642,622.36
  5. Step 5: Solve for x
    x = 1,642,622.36/1,257.54
  6. Step 6: Final answer
    x = 1,306.22

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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.