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Finding the Fourth Proportional to 770.61, 1,063.88 and 509.39

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Solution

The fourth proportional to 770.61, 1,063.88 and 509.39 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,063.88 = 509.39 : x
  2. Step 2: Convert to fraction form
    770.61/1,063.88 = 509.39/x
  3. Step 3: Cross multiply
    770.61x = 1,063.88 × 509.39
  4. Step 4: Simplify right side
    770.61x = 541,930.73
  5. Step 5: Solve for x
    x = 541,930.73/770.61
  6. Step 6: Final answer
    x = 703.25

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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.