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Finding the Fourth Proportional to 770.96, 1,063.36 and 561.20

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Solution

The fourth proportional to 770.96, 1,063.36 and 561.20 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,063.36 = 561.20 : x
  2. Step 2: Convert to fraction form
    770.96/1,063.36 = 561.20/x
  3. Step 3: Cross multiply
    770.96x = 1,063.36 × 561.20
  4. Step 4: Simplify right side
    770.96x = 596,757.63
  5. Step 5: Solve for x
    x = 596,757.63/770.96
  6. Step 6: Final answer
    x = 774.04

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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.