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Finding the Fourth Proportional to 926.25, 1,278.23 and 506.60

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Solution

The fourth proportional to 926.25, 1,278.23 and 506.60 is: 699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.25 : 1,278.23 = 506.60 : x
  2. Step 2: Convert to fraction form
    926.25/1,278.23 = 506.60/x
  3. Step 3: Cross multiply
    926.25x = 1,278.23 × 506.60
  4. Step 4: Simplify right side
    926.25x = 647,551.98
  5. Step 5: Solve for x
    x = 647,551.98/926.25
  6. Step 6: Final answer
    x = 699.11

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1.5x scale

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.