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Finding the Fourth Proportional to 639.65, 882.96 and 574.04

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Solution

The fourth proportional to 639.65, 882.96 and 574.04 is: 792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.65 : 882.96 = 574.04 : x
  2. Step 2: Convert to fraction form
    639.65/882.96 = 574.04/x
  3. Step 3: Cross multiply
    639.65x = 882.96 × 574.04
  4. Step 4: Simplify right side
    639.65x = 506,854.36
  5. Step 5: Solve for x
    x = 506,854.36/639.65
  6. Step 6: Final answer
    x = 792.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.