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Finding the Fourth Proportional to 1,252.63, 1,877.91 and 765.49

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Solution

The fourth proportional to 1,252.63, 1,877.91 and 765.49 is: 1,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.63 : 1,877.91 = 765.49 : x
  2. Step 2: Convert to fraction form
    1,252.63/1,877.91 = 765.49/x
  3. Step 3: Cross multiply
    1,252.63x = 1,877.91 × 765.49
  4. Step 4: Simplify right side
    1,252.63x = 1,437,521.33
  5. Step 5: Solve for x
    x = 1,437,521.33/1,252.63
  6. Step 6: Final answer
    x = 1,147.60

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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.