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Finding the Fourth Proportional to 1,563.46, 2,157.60 and 864.79

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Solution

The fourth proportional to 1,563.46, 2,157.60 and 864.79 is: 1,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.46 : 2,157.60 = 864.79 : x
  2. Step 2: Convert to fraction form
    1,563.46/2,157.60 = 864.79/x
  3. Step 3: Cross multiply
    1,563.46x = 2,157.60 × 864.79
  4. Step 4: Simplify right side
    1,563.46x = 1,865,870.90
  5. Step 5: Solve for x
    x = 1,865,870.90/1,563.46
  6. Step 6: Final answer
    x = 1,193.42

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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.