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Finding the Fourth Proportional to 1,422.84, 2,134.23 and 557.13

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Solution

The fourth proportional to 1,422.84, 2,134.23 and 557.13 is: 835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 2,134.23 = 557.13 : x
  2. Step 2: Convert to fraction form
    1,422.84/2,134.23 = 557.13/x
  3. Step 3: Cross multiply
    1,422.84x = 2,134.23 × 557.13
  4. Step 4: Simplify right side
    1,422.84x = 1,189,043.56
  5. Step 5: Solve for x
    x = 1,189,043.56/1,422.84
  6. Step 6: Final answer
    x = 835.68

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1.5x scale

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.