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Finding the Fourth Proportional to 646.99, 892.52 and 425.66

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Solution

The fourth proportional to 646.99, 892.52 and 425.66 is: 587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 892.52 = 425.66 : x
  2. Step 2: Convert to fraction form
    646.99/892.52 = 425.66/x
  3. Step 3: Cross multiply
    646.99x = 892.52 × 425.66
  4. Step 4: Simplify right side
    646.99x = 379,905.07
  5. Step 5: Solve for x
    x = 379,905.07/646.99
  6. Step 6: Final answer
    x = 587.19

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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.