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Finding the Fourth Proportional to 770.10, 1,156.03 and 442.27

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Solution

The fourth proportional to 770.10, 1,156.03 and 442.27 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,156.03 = 442.27 : x
  2. Step 2: Convert to fraction form
    770.10/1,156.03 = 442.27/x
  3. Step 3: Cross multiply
    770.10x = 1,156.03 × 442.27
  4. Step 4: Simplify right side
    770.10x = 511,277.39
  5. Step 5: Solve for x
    x = 511,277.39/770.10
  6. Step 6: Final answer
    x = 663.91

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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.