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Finding the Fourth Proportional to 1,387, 2,080.77 and 617.50

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Solution

The fourth proportional to 1,387, 2,080.77 and 617.50 is: 926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387 : 2,080.77 = 617.50 : x
  2. Step 2: Convert to fraction form
    1,387/2,080.77 = 617.50/x
  3. Step 3: Cross multiply
    1,387x = 2,080.77 × 617.50
  4. Step 4: Simplify right side
    1,387x = 1,284,875.48
  5. Step 5: Solve for x
    x = 1,284,875.48/1,387
  6. Step 6: Final answer
    x = 926.37

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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.