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Finding the Fourth Proportional to 1,422.23, 2,133.35 and 555.94

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Solution

The fourth proportional to 1,422.23, 2,133.35 and 555.94 is: 833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.23 : 2,133.35 = 555.94 : x
  2. Step 2: Convert to fraction form
    1,422.23/2,133.35 = 555.94/x
  3. Step 3: Cross multiply
    1,422.23x = 2,133.35 × 555.94
  4. Step 4: Simplify right side
    1,422.23x = 1,186,010.66
  5. Step 5: Solve for x
    x = 1,186,010.66/1,422.23
  6. Step 6: Final answer
    x = 833.91

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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.