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Finding the Fourth Proportional to 1,077.27, 1,616.07 and 529.49

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Solution

The fourth proportional to 1,077.27, 1,616.07 and 529.49 is: 794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.27 : 1,616.07 = 529.49 : x
  2. Step 2: Convert to fraction form
    1,077.27/1,616.07 = 529.49/x
  3. Step 3: Cross multiply
    1,077.27x = 1,616.07 × 529.49
  4. Step 4: Simplify right side
    1,077.27x = 855,690.26
  5. Step 5: Solve for x
    x = 855,690.26/1,077.27
  6. Step 6: Final answer
    x = 794.32

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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.