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Finding the Fourth Proportional to 1,422.64, 2,132.72 and 557.60

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Solution

The fourth proportional to 1,422.64, 2,132.72 and 557.60 is: 835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.64 : 2,132.72 = 557.60 : x
  2. Step 2: Convert to fraction form
    1,422.64/2,132.72 = 557.60/x
  3. Step 3: Cross multiply
    1,422.64x = 2,132.72 × 557.60
  4. Step 4: Simplify right side
    1,422.64x = 1,189,204.67
  5. Step 5: Solve for x
    x = 1,189,204.67/1,422.64
  6. Step 6: Final answer
    x = 835.91

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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.