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Finding the Fourth Proportional to 1,413, 2,118.42 and 762.84

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Solution

The fourth proportional to 1,413, 2,118.42 and 762.84 is: 1,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 2,118.42 = 762.84 : x
  2. Step 2: Convert to fraction form
    1,413/2,118.42 = 762.84/x
  3. Step 3: Cross multiply
    1,413x = 2,118.42 × 762.84
  4. Step 4: Simplify right side
    1,413x = 1,616,015.51
  5. Step 5: Solve for x
    x = 1,616,015.51/1,413
  6. Step 6: Final answer
    x = 1,143.68

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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.