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Finding the Fourth Proportional to 770.07, 1,155.10 and 192.95

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Solution

The fourth proportional to 770.07, 1,155.10 and 192.95 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.07 : 1,155.10 = 192.95 : x
  2. Step 2: Convert to fraction form
    770.07/1,155.10 = 192.95/x
  3. Step 3: Cross multiply
    770.07x = 1,155.10 × 192.95
  4. Step 4: Simplify right side
    770.07x = 222,870.29
  5. Step 5: Solve for x
    x = 222,870.29/770.07
  6. Step 6: Final answer
    x = 289.42

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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.