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Finding the Fourth Proportional to 1,089.59, 1,635.31 and 473.79

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Solution

The fourth proportional to 1,089.59, 1,635.31 and 473.79 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.59 : 1,635.31 = 473.79 : x
  2. Step 2: Convert to fraction form
    1,089.59/1,635.31 = 473.79/x
  3. Step 3: Cross multiply
    1,089.59x = 1,635.31 × 473.79
  4. Step 4: Simplify right side
    1,089.59x = 774,793.52
  5. Step 5: Solve for x
    x = 774,793.52/1,089.59
  6. Step 6: Final answer
    x = 711.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.