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Finding the Fourth Proportional to 770.26, 1,157.55 and 457.95

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Solution

The fourth proportional to 770.26, 1,157.55 and 457.95 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,157.55 = 457.95 : x
  2. Step 2: Convert to fraction form
    770.26/1,157.55 = 457.95/x
  3. Step 3: Cross multiply
    770.26x = 1,157.55 × 457.95
  4. Step 4: Simplify right side
    770.26x = 530,100.02
  5. Step 5: Solve for x
    x = 530,100.02/770.26
  6. Step 6: Final answer
    x = 688.21

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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.