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Finding the Fourth Proportional to 1,089.87, 1,635.21 and 505.16

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Solution

The fourth proportional to 1,089.87, 1,635.21 and 505.16 is: 757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.87 : 1,635.21 = 505.16 : x
  2. Step 2: Convert to fraction form
    1,089.87/1,635.21 = 505.16/x
  3. Step 3: Cross multiply
    1,089.87x = 1,635.21 × 505.16
  4. Step 4: Simplify right side
    1,089.87x = 826,034.51
  5. Step 5: Solve for x
    x = 826,034.51/1,089.87
  6. Step 6: Final answer
    x = 757.92

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Why These Related Problems?

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