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Finding the Fourth Proportional to 926.37, 1,278.53 and 553.36

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Solution

The fourth proportional to 926.37, 1,278.53 and 553.36 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.37 : 1,278.53 = 553.36 : x
  2. Step 2: Convert to fraction form
    926.37/1,278.53 = 553.36/x
  3. Step 3: Cross multiply
    926.37x = 1,278.53 × 553.36
  4. Step 4: Simplify right side
    926.37x = 707,487.36
  5. Step 5: Solve for x
    x = 707,487.36/926.37
  6. Step 6: Final answer
    x = 763.72

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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.