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Finding the Fourth Proportional to 1,089.63, 1,634.87 and 473.78

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Solution

The fourth proportional to 1,089.63, 1,634.87 and 473.78 is: 710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.63 : 1,634.87 = 473.78 : x
  2. Step 2: Convert to fraction form
    1,089.63/1,634.87 = 473.78/x
  3. Step 3: Cross multiply
    1,089.63x = 1,634.87 × 473.78
  4. Step 4: Simplify right side
    1,089.63x = 774,558.17
  5. Step 5: Solve for x
    x = 774,558.17/1,089.63
  6. Step 6: Final answer
    x = 710.85

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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.