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Finding the Fourth Proportional to 770.78, 1,063.77 and 509.34

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Solution

The fourth proportional to 770.78, 1,063.77 and 509.34 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.78 : 1,063.77 = 509.34 : x
  2. Step 2: Convert to fraction form
    770.78/1,063.77 = 509.34/x
  3. Step 3: Cross multiply
    770.78x = 1,063.77 × 509.34
  4. Step 4: Simplify right side
    770.78x = 541,820.61
  5. Step 5: Solve for x
    x = 541,820.61/770.78
  6. Step 6: Final answer
    x = 702.95

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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.