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Finding the Fourth Proportional to 1,089.05, 1,631.75 and 473.04

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Solution

The fourth proportional to 1,089.05, 1,631.75 and 473.04 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.05 : 1,631.75 = 473.04 : x
  2. Step 2: Convert to fraction form
    1,089.05/1,631.75 = 473.04/x
  3. Step 3: Cross multiply
    1,089.05x = 1,631.75 × 473.04
  4. Step 4: Simplify right side
    1,089.05x = 771,880.65
  5. Step 5: Solve for x
    x = 771,880.65/1,089.05
  6. Step 6: Final answer
    x = 708.77

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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.