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Finding the Fourth Proportional to 770.79, 1,062.54 and 604.47

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Solution

The fourth proportional to 770.79, 1,062.54 and 604.47 is: 833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.79 : 1,062.54 = 604.47 : x
  2. Step 2: Convert to fraction form
    770.79/1,062.54 = 604.47/x
  3. Step 3: Cross multiply
    770.79x = 1,062.54 × 604.47
  4. Step 4: Simplify right side
    770.79x = 642,273.55
  5. Step 5: Solve for x
    x = 642,273.55/770.79
  6. Step 6: Final answer
    x = 833.27

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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.