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Finding the Fourth Proportional to 770.95, 1,064.08 and 491.12

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Solution

The fourth proportional to 770.95, 1,064.08 and 491.12 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,064.08 = 491.12 : x
  2. Step 2: Convert to fraction form
    770.95/1,064.08 = 491.12/x
  3. Step 3: Cross multiply
    770.95x = 1,064.08 × 491.12
  4. Step 4: Simplify right side
    770.95x = 522,591.86
  5. Step 5: Solve for x
    x = 522,591.86/770.95
  6. Step 6: Final answer
    x = 677.85

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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.