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Finding the Fourth Proportional to 1,142.02, 1,713.03 and 276.33

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Solution

The fourth proportional to 1,142.02, 1,713.03 and 276.33 is: 414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.02 : 1,713.03 = 276.33 : x
  2. Step 2: Convert to fraction form
    1,142.02/1,713.03 = 276.33/x
  3. Step 3: Cross multiply
    1,142.02x = 1,713.03 × 276.33
  4. Step 4: Simplify right side
    1,142.02x = 473,360.54
  5. Step 5: Solve for x
    x = 473,360.54/1,142.02
  6. Step 6: Final answer
    x = 414.50

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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.