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Finding the Fourth Proportional to 1,214.31, 1,822.28 and 781.77

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Solution

The fourth proportional to 1,214.31, 1,822.28 and 781.77 is: 1,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.31 : 1,822.28 = 781.77 : x
  2. Step 2: Convert to fraction form
    1,214.31/1,822.28 = 781.77/x
  3. Step 3: Cross multiply
    1,214.31x = 1,822.28 × 781.77
  4. Step 4: Simplify right side
    1,214.31x = 1,424,603.84
  5. Step 5: Solve for x
    x = 1,424,603.84/1,214.31
  6. Step 6: Final answer
    x = 1,173.18

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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.