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Finding the Fourth Proportional to 770.54, 1,156.08 and 283.64

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Solution

The fourth proportional to 770.54, 1,156.08 and 283.64 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.54 : 1,156.08 = 283.64 : x
  2. Step 2: Convert to fraction form
    770.54/1,156.08 = 283.64/x
  3. Step 3: Cross multiply
    770.54x = 1,156.08 × 283.64
  4. Step 4: Simplify right side
    770.54x = 327,910.53
  5. Step 5: Solve for x
    x = 327,910.53/770.54
  6. Step 6: Final answer
    x = 425.56

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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.