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Finding the Fourth Proportional to 1,008.63, 1,392.32 and 677.68

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Solution

The fourth proportional to 1,008.63, 1,392.32 and 677.68 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.63 : 1,392.32 = 677.68 : x
  2. Step 2: Convert to fraction form
    1,008.63/1,392.32 = 677.68/x
  3. Step 3: Cross multiply
    1,008.63x = 1,392.32 × 677.68
  4. Step 4: Simplify right side
    1,008.63x = 943,545.63
  5. Step 5: Solve for x
    x = 943,545.63/1,008.63
  6. Step 6: Final answer
    x = 935.47

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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.