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Finding the Fourth Proportional to 770.39, 1,156.05 and 283.78

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Solution

The fourth proportional to 770.39, 1,156.05 and 283.78 is: 425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.39 : 1,156.05 = 283.78 : x
  2. Step 2: Convert to fraction form
    770.39/1,156.05 = 283.78/x
  3. Step 3: Cross multiply
    770.39x = 1,156.05 × 283.78
  4. Step 4: Simplify right side
    770.39x = 328,062.45
  5. Step 5: Solve for x
    x = 328,062.45/770.39
  6. Step 6: Final answer
    x = 425.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.