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Finding the Fourth Proportional to 921, 1,270.45 and 584.78

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Solution

The fourth proportional to 921, 1,270.45 and 584.78 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    921 : 1,270.45 = 584.78 : x
  2. Step 2: Convert to fraction form
    921/1,270.45 = 584.78/x
  3. Step 3: Cross multiply
    921x = 1,270.45 × 584.78
  4. Step 4: Simplify right side
    921x = 742,933.75
  5. Step 5: Solve for x
    x = 742,933.75/921
  6. Step 6: Final answer
    x = 806.66

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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.