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Finding the Fourth Proportional to 770.16, 1,155.24 and 193.04

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Solution

The fourth proportional to 770.16, 1,155.24 and 193.04 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.16 : 1,155.24 = 193.04 : x
  2. Step 2: Convert to fraction form
    770.16/1,155.24 = 193.04/x
  3. Step 3: Cross multiply
    770.16x = 1,155.24 × 193.04
  4. Step 4: Simplify right side
    770.16x = 223,007.53
  5. Step 5: Solve for x
    x = 223,007.53/770.16
  6. Step 6: Final answer
    x = 289.56

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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.