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Finding the Fourth Proportional to 770.96, 1,155.75 and 283.67

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Solution

The fourth proportional to 770.96, 1,155.75 and 283.67 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,155.75 = 283.67 : x
  2. Step 2: Convert to fraction form
    770.96/1,155.75 = 283.67/x
  3. Step 3: Cross multiply
    770.96x = 1,155.75 × 283.67
  4. Step 4: Simplify right side
    770.96x = 327,851.60
  5. Step 5: Solve for x
    x = 327,851.60/770.96
  6. Step 6: Final answer
    x = 425.25

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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.