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Finding the Fourth Proportional to 1,790.64, 2,684.97 and 557.72

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Solution

The fourth proportional to 1,790.64, 2,684.97 and 557.72 is: 836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.64 : 2,684.97 = 557.72 : x
  2. Step 2: Convert to fraction form
    1,790.64/2,684.97 = 557.72/x
  3. Step 3: Cross multiply
    1,790.64x = 2,684.97 × 557.72
  4. Step 4: Simplify right side
    1,790.64x = 1,497,448.04
  5. Step 5: Solve for x
    x = 1,497,448.04/1,790.64
  6. Step 6: Final answer
    x = 836.26

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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.