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Finding the Fourth Proportional to 926.15, 1,278.20 and 594.65

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Solution

The fourth proportional to 926.15, 1,278.20 and 594.65 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.15 : 1,278.20 = 594.65 : x
  2. Step 2: Convert to fraction form
    926.15/1,278.20 = 594.65/x
  3. Step 3: Cross multiply
    926.15x = 1,278.20 × 594.65
  4. Step 4: Simplify right side
    926.15x = 760,072.27
  5. Step 5: Solve for x
    x = 760,072.27/926.15
  6. Step 6: Final answer
    x = 820.68

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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.