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Finding the Fourth Proportional to 1,257.62, 1,735.53 and 698.10

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Solution

The fourth proportional to 1,257.62, 1,735.53 and 698.10 is: 963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.62 : 1,735.53 = 698.10 : x
  2. Step 2: Convert to fraction form
    1,257.62/1,735.53 = 698.10/x
  3. Step 3: Cross multiply
    1,257.62x = 1,735.53 × 698.10
  4. Step 4: Simplify right side
    1,257.62x = 1,211,573.49
  5. Step 5: Solve for x
    x = 1,211,573.49/1,257.62
  6. Step 6: Final answer
    x = 963.39

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1.5x scale

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.