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Finding the Fourth Proportional to 1,257.63, 1,735.54 and 760.18

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Solution

The fourth proportional to 1,257.63, 1,735.54 and 760.18 is: 1,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.63 : 1,735.54 = 760.18 : x
  2. Step 2: Convert to fraction form
    1,257.63/1,735.54 = 760.18/x
  3. Step 3: Cross multiply
    1,257.63x = 1,735.54 × 760.18
  4. Step 4: Simplify right side
    1,257.63x = 1,319,316.56
  5. Step 5: Solve for x
    x = 1,319,316.56/1,257.63
  6. Step 6: Final answer
    x = 1,049.05

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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.