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Finding the Fourth Proportional to 770.97, 1,156.53 and 250.95

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Solution

The fourth proportional to 770.97, 1,156.53 and 250.95 is: 376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,156.53 = 250.95 : x
  2. Step 2: Convert to fraction form
    770.97/1,156.53 = 250.95/x
  3. Step 3: Cross multiply
    770.97x = 1,156.53 × 250.95
  4. Step 4: Simplify right side
    770.97x = 290,231.20
  5. Step 5: Solve for x
    x = 290,231.20/770.97
  6. Step 6: Final answer
    x = 376.45

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Double scale
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1.5x scale

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.