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Finding the Fourth Proportional to 770.48, 1,063.13 and 438.83

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Solution

The fourth proportional to 770.48, 1,063.13 and 438.83 is: 605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.48 : 1,063.13 = 438.83 : x
  2. Step 2: Convert to fraction form
    770.48/1,063.13 = 438.83/x
  3. Step 3: Cross multiply
    770.48x = 1,063.13 × 438.83
  4. Step 4: Simplify right side
    770.48x = 466,533.34
  5. Step 5: Solve for x
    x = 466,533.34/770.48
  6. Step 6: Final answer
    x = 605.51

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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.