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Finding the Fourth Proportional to 924.87, 1,276.35 and 552.09

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Solution

The fourth proportional to 924.87, 1,276.35 and 552.09 is: 761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.87 : 1,276.35 = 552.09 : x
  2. Step 2: Convert to fraction form
    924.87/1,276.35 = 552.09/x
  3. Step 3: Cross multiply
    924.87x = 1,276.35 × 552.09
  4. Step 4: Simplify right side
    924.87x = 704,660.07
  5. Step 5: Solve for x
    x = 704,660.07/924.87
  6. Step 6: Final answer
    x = 761.90

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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.