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Finding the Fourth Proportional to 3,080, 4,620 and 771.50

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Solution

The fourth proportional to 3,080, 4,620 and 771.50 is: 1,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080 : 4,620 = 771.50 : x
  2. Step 2: Convert to fraction form
    3,080/4,620 = 771.50/x
  3. Step 3: Cross multiply
    3,080x = 4,620 × 771.50
  4. Step 4: Simplify right side
    3,080x = 3,564,330
  5. Step 5: Solve for x
    x = 3,564,330/3,080
  6. Step 6: Final answer
    x = 1,157.25

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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.