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Finding the Fourth Proportional to 770.78, 1,157.99 and 497.41

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Solution

The fourth proportional to 770.78, 1,157.99 and 497.41 is: 747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.78 : 1,157.99 = 497.41 : x
  2. Step 2: Convert to fraction form
    770.78/1,157.99 = 497.41/x
  3. Step 3: Cross multiply
    770.78x = 1,157.99 × 497.41
  4. Step 4: Simplify right side
    770.78x = 575,995.81
  5. Step 5: Solve for x
    x = 575,995.81/770.78
  6. Step 6: Final answer
    x = 747.29

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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.