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Finding the Fourth Proportional to 926.64, 1,278.64 and 577.28

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Solution

The fourth proportional to 926.64, 1,278.64 and 577.28 is: 796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,278.64 = 577.28 : x
  2. Step 2: Convert to fraction form
    926.64/1,278.64 = 577.28/x
  3. Step 3: Cross multiply
    926.64x = 1,278.64 × 577.28
  4. Step 4: Simplify right side
    926.64x = 738,133.30
  5. Step 5: Solve for x
    x = 738,133.30/926.64
  6. Step 6: Final answer
    x = 796.57

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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.