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Finding the Fourth Proportional to 770.96, 1,154.64 and 380.24

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Solution

The fourth proportional to 770.96, 1,154.64 and 380.24 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,154.64 = 380.24 : x
  2. Step 2: Convert to fraction form
    770.96/1,154.64 = 380.24/x
  3. Step 3: Cross multiply
    770.96x = 1,154.64 × 380.24
  4. Step 4: Simplify right side
    770.96x = 439,040.31
  5. Step 5: Solve for x
    x = 439,040.31/770.96
  6. Step 6: Final answer
    x = 569.47

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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.