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Finding the Fourth Proportional to 770.44, 1,061.96 and 602.10

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Solution

The fourth proportional to 770.44, 1,061.96 and 602.10 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,061.96 = 602.10 : x
  2. Step 2: Convert to fraction form
    770.44/1,061.96 = 602.10/x
  3. Step 3: Cross multiply
    770.44x = 1,061.96 × 602.10
  4. Step 4: Simplify right side
    770.44x = 639,397.80
  5. Step 5: Solve for x
    x = 639,397.80/770.44
  6. Step 6: Final answer
    x = 829.91

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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.