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Finding the Fourth Proportional to 1,257.54, 1,884.69 and 708.90

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Solution

The fourth proportional to 1,257.54, 1,884.69 and 708.90 is: 1,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.54 : 1,884.69 = 708.90 : x
  2. Step 2: Convert to fraction form
    1,257.54/1,884.69 = 708.90/x
  3. Step 3: Cross multiply
    1,257.54x = 1,884.69 × 708.90
  4. Step 4: Simplify right side
    1,257.54x = 1,336,056.74
  5. Step 5: Solve for x
    x = 1,336,056.74/1,257.54
  6. Step 6: Final answer
    x = 1,062.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.