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Finding the Fourth Proportional to 926.45, 1,278.86 and 553.35

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Solution

The fourth proportional to 926.45, 1,278.86 and 553.35 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.45 : 1,278.86 = 553.35 : x
  2. Step 2: Convert to fraction form
    926.45/1,278.86 = 553.35/x
  3. Step 3: Cross multiply
    926.45x = 1,278.86 × 553.35
  4. Step 4: Simplify right side
    926.45x = 707,654.41
  5. Step 5: Solve for x
    x = 707,654.41/926.45
  6. Step 6: Final answer
    x = 763.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.