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Finding the Fourth Proportional to 904.73, 1,248.56 and 506.39

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Solution

The fourth proportional to 904.73, 1,248.56 and 506.39 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.73 : 1,248.56 = 506.39 : x
  2. Step 2: Convert to fraction form
    904.73/1,248.56 = 506.39/x
  3. Step 3: Cross multiply
    904.73x = 1,248.56 × 506.39
  4. Step 4: Simplify right side
    904.73x = 632,249.52
  5. Step 5: Solve for x
    x = 632,249.52/904.73
  6. Step 6: Final answer
    x = 698.83

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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.