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Finding the Fourth Proportional to 770.84, 1,155.54 and 283.76

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Solution

The fourth proportional to 770.84, 1,155.54 and 283.76 is: 425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.84 : 1,155.54 = 283.76 : x
  2. Step 2: Convert to fraction form
    770.84/1,155.54 = 283.76/x
  3. Step 3: Cross multiply
    770.84x = 1,155.54 × 283.76
  4. Step 4: Simplify right side
    770.84x = 327,896.03
  5. Step 5: Solve for x
    x = 327,896.03/770.84
  6. Step 6: Final answer
    x = 425.37

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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.