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Finding the Fourth Proportional to 1,142.74, 1,713.76 and 412.22

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Solution

The fourth proportional to 1,142.74, 1,713.76 and 412.22 is: 618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.74 : 1,713.76 = 412.22 : x
  2. Step 2: Convert to fraction form
    1,142.74/1,713.76 = 412.22/x
  3. Step 3: Cross multiply
    1,142.74x = 1,713.76 × 412.22
  4. Step 4: Simplify right side
    1,142.74x = 706,449.40
  5. Step 5: Solve for x
    x = 706,449.40/1,142.74
  6. Step 6: Final answer
    x = 618.21

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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.