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Finding the Fourth Proportional to 770.81, 1,156.39 and 283.86

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Solution

The fourth proportional to 770.81, 1,156.39 and 283.86 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,156.39 = 283.86 : x
  2. Step 2: Convert to fraction form
    770.81/1,156.39 = 283.86/x
  3. Step 3: Cross multiply
    770.81x = 1,156.39 × 283.86
  4. Step 4: Simplify right side
    770.81x = 328,252.16
  5. Step 5: Solve for x
    x = 328,252.16/770.81
  6. Step 6: Final answer
    x = 425.86

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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.