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Finding the Fourth Proportional to 770.31, 1,062.52 and 504.23

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Solution

The fourth proportional to 770.31, 1,062.52 and 504.23 is: 695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.31 : 1,062.52 = 504.23 : x
  2. Step 2: Convert to fraction form
    770.31/1,062.52 = 504.23/x
  3. Step 3: Cross multiply
    770.31x = 1,062.52 × 504.23
  4. Step 4: Simplify right side
    770.31x = 535,747.89
  5. Step 5: Solve for x
    x = 535,747.89/770.31
  6. Step 6: Final answer
    x = 695.50

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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.