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Finding the Fourth Proportional to 770.99, 1,157.29 and 338.45

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Solution

The fourth proportional to 770.99, 1,157.29 and 338.45 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,157.29 = 338.45 : x
  2. Step 2: Convert to fraction form
    770.99/1,157.29 = 338.45/x
  3. Step 3: Cross multiply
    770.99x = 1,157.29 × 338.45
  4. Step 4: Simplify right side
    770.99x = 391,678.17
  5. Step 5: Solve for x
    x = 391,678.17/770.99
  6. Step 6: Final answer
    x = 508.02

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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.