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Finding the Fourth Proportional to 926.64, 1,278.86 and 553.77

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Solution

The fourth proportional to 926.64, 1,278.86 and 553.77 is: 764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,278.86 = 553.77 : x
  2. Step 2: Convert to fraction form
    926.64/1,278.86 = 553.77/x
  3. Step 3: Cross multiply
    926.64x = 1,278.86 × 553.77
  4. Step 4: Simplify right side
    926.64x = 708,191.53
  5. Step 5: Solve for x
    x = 708,191.53/926.64
  6. Step 6: Final answer
    x = 764.26

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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.