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Finding the Fourth Proportional to 926.10, 1,278 and 506.45

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Solution

The fourth proportional to 926.10, 1,278 and 506.45 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.10 : 1,278 = 506.45 : x
  2. Step 2: Convert to fraction form
    926.10/1,278 = 506.45/x
  3. Step 3: Cross multiply
    926.10x = 1,278 × 506.45
  4. Step 4: Simplify right side
    926.10x = 647,246.30
  5. Step 5: Solve for x
    x = 647,246.30/926.10
  6. Step 6: Final answer
    x = 698.89

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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.