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Finding the Fourth Proportional to 770.48, 1,064.82 and 583.92

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Solution

The fourth proportional to 770.48, 1,064.82 and 583.92 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.48 : 1,064.82 = 583.92 : x
  2. Step 2: Convert to fraction form
    770.48/1,064.82 = 583.92/x
  3. Step 3: Cross multiply
    770.48x = 1,064.82 × 583.92
  4. Step 4: Simplify right side
    770.48x = 621,769.69
  5. Step 5: Solve for x
    x = 621,769.69/770.48
  6. Step 6: Final answer
    x = 806.99

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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.