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Finding the Fourth Proportional to 770.00, 1,154.72 and 249.86

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Solution

The fourth proportional to 770.00, 1,154.72 and 249.86 is: 374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.00 : 1,154.72 = 249.86 : x
  2. Step 2: Convert to fraction form
    770.00/1,154.72 = 249.86/x
  3. Step 3: Cross multiply
    770.00x = 1,154.72 × 249.86
  4. Step 4: Simplify right side
    770.00x = 288,513.19
  5. Step 5: Solve for x
    x = 288,513.19/770.00
  6. Step 6: Final answer
    x = 374.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.