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Finding the Fourth Proportional to 1,257.64, 1,735.46 and 698.10

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Solution

The fourth proportional to 1,257.64, 1,735.46 and 698.10 is: 963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.64 : 1,735.46 = 698.10 : x
  2. Step 2: Convert to fraction form
    1,257.64/1,735.46 = 698.10/x
  3. Step 3: Cross multiply
    1,257.64x = 1,735.46 × 698.10
  4. Step 4: Simplify right side
    1,257.64x = 1,211,527.01
  5. Step 5: Solve for x
    x = 1,211,527.01/1,257.64
  6. Step 6: Final answer
    x = 963.33

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Why These Related Problems?

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