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Finding the Fourth Proportional to 1,142.54, 1,713.81 and 412.17

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Solution

The fourth proportional to 1,142.54, 1,713.81 and 412.17 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.54 : 1,713.81 = 412.17 : x
  2. Step 2: Convert to fraction form
    1,142.54/1,713.81 = 412.17/x
  3. Step 3: Cross multiply
    1,142.54x = 1,713.81 × 412.17
  4. Step 4: Simplify right side
    1,142.54x = 706,383.51
  5. Step 5: Solve for x
    x = 706,383.51/1,142.54
  6. Step 6: Final answer
    x = 618.26

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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.