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Finding the Fourth Proportional to 1,668.25, 2,502.36 and 557.75

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Solution

The fourth proportional to 1,668.25, 2,502.36 and 557.75 is: 836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.25 : 2,502.36 = 557.75 : x
  2. Step 2: Convert to fraction form
    1,668.25/2,502.36 = 557.75/x
  3. Step 3: Cross multiply
    1,668.25x = 2,502.36 × 557.75
  4. Step 4: Simplify right side
    1,668.25x = 1,395,691.29
  5. Step 5: Solve for x
    x = 1,395,691.29/1,668.25
  6. Step 6: Final answer
    x = 836.62

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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.