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Finding the Fourth Proportional to 770.23, 1,155.35 and 440.97

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Solution

The fourth proportional to 770.23, 1,155.35 and 440.97 is: 661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.23 : 1,155.35 = 440.97 : x
  2. Step 2: Convert to fraction form
    770.23/1,155.35 = 440.97/x
  3. Step 3: Cross multiply
    770.23x = 1,155.35 × 440.97
  4. Step 4: Simplify right side
    770.23x = 509,474.69
  5. Step 5: Solve for x
    x = 509,474.69/770.23
  6. Step 6: Final answer
    x = 661.46

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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.