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Finding the Fourth Proportional to 888.84, 1,226.28 and 510.78

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Solution

The fourth proportional to 888.84, 1,226.28 and 510.78 is: 704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.84 : 1,226.28 = 510.78 : x
  2. Step 2: Convert to fraction form
    888.84/1,226.28 = 510.78/x
  3. Step 3: Cross multiply
    888.84x = 1,226.28 × 510.78
  4. Step 4: Simplify right side
    888.84x = 626,359.30
  5. Step 5: Solve for x
    x = 626,359.30/888.84
  6. Step 6: Final answer
    x = 704.69

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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.