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Finding the Fourth Proportional to 772.01, 1,157.70 and 284.95

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Solution

The fourth proportional to 772.01, 1,157.70 and 284.95 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.01 : 1,157.70 = 284.95 : x
  2. Step 2: Convert to fraction form
    772.01/1,157.70 = 284.95/x
  3. Step 3: Cross multiply
    772.01x = 1,157.70 × 284.95
  4. Step 4: Simplify right side
    772.01x = 329,886.62
  5. Step 5: Solve for x
    x = 329,886.62/772.01
  6. Step 6: Final answer
    x = 427.31

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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.