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Finding the Fourth Proportional to 770.36, 1,063.04 and 434.24

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Solution

The fourth proportional to 770.36, 1,063.04 and 434.24 is: 599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.36 : 1,063.04 = 434.24 : x
  2. Step 2: Convert to fraction form
    770.36/1,063.04 = 434.24/x
  3. Step 3: Cross multiply
    770.36x = 1,063.04 × 434.24
  4. Step 4: Simplify right side
    770.36x = 461,614.49
  5. Step 5: Solve for x
    x = 461,614.49/770.36
  6. Step 6: Final answer
    x = 599.22

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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.