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Finding the Fourth Proportional to 869.73, 1,304.60 and 430.89

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Solution

The fourth proportional to 869.73, 1,304.60 and 430.89 is: 646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.73 : 1,304.60 = 430.89 : x
  2. Step 2: Convert to fraction form
    869.73/1,304.60 = 430.89/x
  3. Step 3: Cross multiply
    869.73x = 1,304.60 × 430.89
  4. Step 4: Simplify right side
    869.73x = 562,136.94
  5. Step 5: Solve for x
    x = 562,136.94/869.73
  6. Step 6: Final answer
    x = 646.34

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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.