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Finding the Fourth Proportional to 1,257.28, 1,735.16 and 697.86

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Solution

The fourth proportional to 1,257.28, 1,735.16 and 697.86 is: 963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.28 : 1,735.16 = 697.86 : x
  2. Step 2: Convert to fraction form
    1,257.28/1,735.16 = 697.86/x
  3. Step 3: Cross multiply
    1,257.28x = 1,735.16 × 697.86
  4. Step 4: Simplify right side
    1,257.28x = 1,210,890.39
  5. Step 5: Solve for x
    x = 1,210,890.39/1,257.28
  6. Step 6: Final answer
    x = 963.10

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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.