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Finding the Fourth Proportional to 926.04, 1,277.96 and 506.40

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Solution

The fourth proportional to 926.04, 1,277.96 and 506.40 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.04 : 1,277.96 = 506.40 : x
  2. Step 2: Convert to fraction form
    926.04/1,277.96 = 506.40/x
  3. Step 3: Cross multiply
    926.04x = 1,277.96 × 506.40
  4. Step 4: Simplify right side
    926.04x = 647,158.94
  5. Step 5: Solve for x
    x = 647,158.94/926.04
  6. Step 6: Final answer
    x = 698.85

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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.