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Finding the Fourth Proportional to 930.51, 1,394.91 and 436.73

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Solution

The fourth proportional to 930.51, 1,394.91 and 436.73 is: 654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.51 : 1,394.91 = 436.73 : x
  2. Step 2: Convert to fraction form
    930.51/1,394.91 = 436.73/x
  3. Step 3: Cross multiply
    930.51x = 1,394.91 × 436.73
  4. Step 4: Simplify right side
    930.51x = 609,192.07
  5. Step 5: Solve for x
    x = 609,192.07/930.51
  6. Step 6: Final answer
    x = 654.69

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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.