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Finding the Fourth Proportional to 1,253.48, 1,729.76 and 693.93

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Solution

The fourth proportional to 1,253.48, 1,729.76 and 693.93 is: 957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.48 : 1,729.76 = 693.93 : x
  2. Step 2: Convert to fraction form
    1,253.48/1,729.76 = 693.93/x
  3. Step 3: Cross multiply
    1,253.48x = 1,729.76 × 693.93
  4. Step 4: Simplify right side
    1,253.48x = 1,200,335.37
  5. Step 5: Solve for x
    x = 1,200,335.37/1,253.48
  6. Step 6: Final answer
    x = 957.61

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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.