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Finding the Fourth Proportional to 770.06, 1,155.06 and 337.20

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Solution

The fourth proportional to 770.06, 1,155.06 and 337.20 is: 505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.06 : 1,155.06 = 337.20 : x
  2. Step 2: Convert to fraction form
    770.06/1,155.06 = 337.20/x
  3. Step 3: Cross multiply
    770.06x = 1,155.06 × 337.20
  4. Step 4: Simplify right side
    770.06x = 389,486.23
  5. Step 5: Solve for x
    x = 389,486.23/770.06
  6. Step 6: Final answer
    x = 505.79

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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.