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Finding the Fourth Proportional to 770.49, 1,063.55 and 475.84

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Solution

The fourth proportional to 770.49, 1,063.55 and 475.84 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.49 : 1,063.55 = 475.84 : x
  2. Step 2: Convert to fraction form
    770.49/1,063.55 = 475.84/x
  3. Step 3: Cross multiply
    770.49x = 1,063.55 × 475.84
  4. Step 4: Simplify right side
    770.49x = 506,079.63
  5. Step 5: Solve for x
    x = 506,079.63/770.49
  6. Step 6: Final answer
    x = 656.83

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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.