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Finding the Fourth Proportional to 770.63, 1,156.00 and 257.63

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Solution

The fourth proportional to 770.63, 1,156.00 and 257.63 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.63 : 1,156.00 = 257.63 : x
  2. Step 2: Convert to fraction form
    770.63/1,156.00 = 257.63/x
  3. Step 3: Cross multiply
    770.63x = 1,156.00 × 257.63
  4. Step 4: Simplify right side
    770.63x = 297,813.86
  5. Step 5: Solve for x
    x = 297,813.86/770.63
  6. Step 6: Final answer
    x = 386.46

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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.