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Finding the Fourth Proportional to 770.52, 1,063.68 and 584.04

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Solution

The fourth proportional to 770.52, 1,063.68 and 584.04 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.52 : 1,063.68 = 584.04 : x
  2. Step 2: Convert to fraction form
    770.52/1,063.68 = 584.04/x
  3. Step 3: Cross multiply
    770.52x = 1,063.68 × 584.04
  4. Step 4: Simplify right side
    770.52x = 621,231.67
  5. Step 5: Solve for x
    x = 621,231.67/770.52
  6. Step 6: Final answer
    x = 806.25

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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.