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Finding the Fourth Proportional to 770.61, 1,156.22 and 283.71

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Solution

The fourth proportional to 770.61, 1,156.22 and 283.71 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,156.22 = 283.71 : x
  2. Step 2: Convert to fraction form
    770.61/1,156.22 = 283.71/x
  3. Step 3: Cross multiply
    770.61x = 1,156.22 × 283.71
  4. Step 4: Simplify right side
    770.61x = 328,029.76
  5. Step 5: Solve for x
    x = 328,029.76/770.61
  6. Step 6: Final answer
    x = 425.68

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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.