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Finding the Fourth Proportional to 770.99, 1,156.48 and 283.77

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Solution

The fourth proportional to 770.99, 1,156.48 and 283.77 is: 425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,156.48 = 283.77 : x
  2. Step 2: Convert to fraction form
    770.99/1,156.48 = 283.77/x
  3. Step 3: Cross multiply
    770.99x = 1,156.48 × 283.77
  4. Step 4: Simplify right side
    770.99x = 328,173.62
  5. Step 5: Solve for x
    x = 328,173.62/770.99
  6. Step 6: Final answer
    x = 425.66

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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.