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Finding the Fourth Proportional to 770.00, 1,154.51 and 654.49

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Solution

The fourth proportional to 770.00, 1,154.51 and 654.49 is: 981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.00 : 1,154.51 = 654.49 : x
  2. Step 2: Convert to fraction form
    770.00/1,154.51 = 654.49/x
  3. Step 3: Cross multiply
    770.00x = 1,154.51 × 654.49
  4. Step 4: Simplify right side
    770.00x = 755,609.09
  5. Step 5: Solve for x
    x = 755,609.09/770.00
  6. Step 6: Final answer
    x = 981.31

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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.