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Finding the Fourth Proportional to 926.31, 1,277.67 and 594.21

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Solution

The fourth proportional to 926.31, 1,277.67 and 594.21 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.31 : 1,277.67 = 594.21 : x
  2. Step 2: Convert to fraction form
    926.31/1,277.67 = 594.21/x
  3. Step 3: Cross multiply
    926.31x = 1,277.67 × 594.21
  4. Step 4: Simplify right side
    926.31x = 759,204.29
  5. Step 5: Solve for x
    x = 759,204.29/926.31
  6. Step 6: Final answer
    x = 819.60

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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.