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Finding the Fourth Proportional to 770.57, 1,063.42 and 456.01

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Solution

The fourth proportional to 770.57, 1,063.42 and 456.01 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.57 : 1,063.42 = 456.01 : x
  2. Step 2: Convert to fraction form
    770.57/1,063.42 = 456.01/x
  3. Step 3: Cross multiply
    770.57x = 1,063.42 × 456.01
  4. Step 4: Simplify right side
    770.57x = 484,930.63
  5. Step 5: Solve for x
    x = 484,930.63/770.57
  6. Step 6: Final answer
    x = 629.32

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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.