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Finding the Fourth Proportional to 770.61, 1,154.88 and 496.56

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Solution

The fourth proportional to 770.61, 1,154.88 and 496.56 is: 744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,154.88 = 496.56 : x
  2. Step 2: Convert to fraction form
    770.61/1,154.88 = 496.56/x
  3. Step 3: Cross multiply
    770.61x = 1,154.88 × 496.56
  4. Step 4: Simplify right side
    770.61x = 573,467.21
  5. Step 5: Solve for x
    x = 573,467.21/770.61
  6. Step 6: Final answer
    x = 744.17

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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.