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Finding the Fourth Proportional to 770.56, 1,157.04 and 684.16

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Solution

The fourth proportional to 770.56, 1,157.04 and 684.16 is: 1,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.56 : 1,157.04 = 684.16 : x
  2. Step 2: Convert to fraction form
    770.56/1,157.04 = 684.16/x
  3. Step 3: Cross multiply
    770.56x = 1,157.04 × 684.16
  4. Step 4: Simplify right side
    770.56x = 791,600.49
  5. Step 5: Solve for x
    x = 791,600.49/770.56
  6. Step 6: Final answer
    x = 1,027.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.