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Finding the Fourth Proportional to 770.79, 1,154.73 and 477.37

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Solution

The fourth proportional to 770.79, 1,154.73 and 477.37 is: 715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.79 : 1,154.73 = 477.37 : x
  2. Step 2: Convert to fraction form
    770.79/1,154.73 = 477.37/x
  3. Step 3: Cross multiply
    770.79x = 1,154.73 × 477.37
  4. Step 4: Simplify right side
    770.79x = 551,227.69
  5. Step 5: Solve for x
    x = 551,227.69/770.79
  6. Step 6: Final answer
    x = 715.15

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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.