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Finding the Fourth Proportional to 1,415, 1,952.70 and 863

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Solution

The fourth proportional to 1,415, 1,952.70 and 863 is: 1,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415 : 1,952.70 = 863 : x
  2. Step 2: Convert to fraction form
    1,415/1,952.70 = 863/x
  3. Step 3: Cross multiply
    1,415x = 1,952.70 × 863
  4. Step 4: Simplify right side
    1,415x = 1,685,180.10
  5. Step 5: Solve for x
    x = 1,685,180.10/1,415
  6. Step 6: Final answer
    x = 1,190.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.