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Finding the Fourth Proportional to 1,385.07, 2,077.46 and 519.45

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Solution

The fourth proportional to 1,385.07, 2,077.46 and 519.45 is: 779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.07 : 2,077.46 = 519.45 : x
  2. Step 2: Convert to fraction form
    1,385.07/2,077.46 = 519.45/x
  3. Step 3: Cross multiply
    1,385.07x = 2,077.46 × 519.45
  4. Step 4: Simplify right side
    1,385.07x = 1,079,131.08
  5. Step 5: Solve for x
    x = 1,079,131.08/1,385.07
  6. Step 6: Final answer
    x = 779.12

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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.