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Finding the Fourth Proportional to 770.30, 1,063.09 and 438.74

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Solution

The fourth proportional to 770.30, 1,063.09 and 438.74 is: 605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.30 : 1,063.09 = 438.74 : x
  2. Step 2: Convert to fraction form
    770.30/1,063.09 = 438.74/x
  3. Step 3: Cross multiply
    770.30x = 1,063.09 × 438.74
  4. Step 4: Simplify right side
    770.30x = 466,420.11
  5. Step 5: Solve for x
    x = 466,420.11/770.30
  6. Step 6: Final answer
    x = 605.50

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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.