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Finding the Fourth Proportional to 770.65, 1,063.45 and 439.10

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Solution

The fourth proportional to 770.65, 1,063.45 and 439.10 is: 605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.65 : 1,063.45 = 439.10 : x
  2. Step 2: Convert to fraction form
    770.65/1,063.45 = 439.10/x
  3. Step 3: Cross multiply
    770.65x = 1,063.45 × 439.10
  4. Step 4: Simplify right side
    770.65x = 466,960.11
  5. Step 5: Solve for x
    x = 466,960.11/770.65
  6. Step 6: Final answer
    x = 605.93

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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.