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Finding the Fourth Proportional to 1,288.21, 1,777.74 and 698.76

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Solution

The fourth proportional to 1,288.21, 1,777.74 and 698.76 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.21 : 1,777.74 = 698.76 : x
  2. Step 2: Convert to fraction form
    1,288.21/1,777.74 = 698.76/x
  3. Step 3: Cross multiply
    1,288.21x = 1,777.74 × 698.76
  4. Step 4: Simplify right side
    1,288.21x = 1,242,213.60
  5. Step 5: Solve for x
    x = 1,242,213.60/1,288.21
  6. Step 6: Final answer
    x = 964.29

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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.