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Finding the Fourth Proportional to 1,077.30, 1,616.40 and 771.12

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Solution

The fourth proportional to 1,077.30, 1,616.40 and 771.12 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.30 : 1,616.40 = 771.12 : x
  2. Step 2: Convert to fraction form
    1,077.30/1,616.40 = 771.12/x
  3. Step 3: Cross multiply
    1,077.30x = 1,616.40 × 771.12
  4. Step 4: Simplify right side
    1,077.30x = 1,246,438.37
  5. Step 5: Solve for x
    x = 1,246,438.37/1,077.30
  6. Step 6: Final answer
    x = 1,157.00

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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.