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Finding the Fourth Proportional to 770.14, 1,157.37 and 580.06

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Solution

The fourth proportional to 770.14, 1,157.37 and 580.06 is: 871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,157.37 = 580.06 : x
  2. Step 2: Convert to fraction form
    770.14/1,157.37 = 580.06/x
  3. Step 3: Cross multiply
    770.14x = 1,157.37 × 580.06
  4. Step 4: Simplify right side
    770.14x = 671,344.04
  5. Step 5: Solve for x
    x = 671,344.04/770.14
  6. Step 6: Final answer
    x = 871.72

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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.