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Finding the Fourth Proportional to 1,089.15, 1,633.94 and 699.13

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Solution

The fourth proportional to 1,089.15, 1,633.94 and 699.13 is: 1,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.15 : 1,633.94 = 699.13 : x
  2. Step 2: Convert to fraction form
    1,089.15/1,633.94 = 699.13/x
  3. Step 3: Cross multiply
    1,089.15x = 1,633.94 × 699.13
  4. Step 4: Simplify right side
    1,089.15x = 1,142,337.64
  5. Step 5: Solve for x
    x = 1,142,337.64/1,089.15
  6. Step 6: Final answer
    x = 1,048.84

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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.