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Finding the Fourth Proportional to 770.24, 1,153.92 and 461.12

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Solution

The fourth proportional to 770.24, 1,153.92 and 461.12 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.24 : 1,153.92 = 461.12 : x
  2. Step 2: Convert to fraction form
    770.24/1,153.92 = 461.12/x
  3. Step 3: Cross multiply
    770.24x = 1,153.92 × 461.12
  4. Step 4: Simplify right side
    770.24x = 532,095.59
  5. Step 5: Solve for x
    x = 532,095.59/770.24
  6. Step 6: Final answer
    x = 690.82

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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.