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Finding the Fourth Proportional to 1,089.77, 1,633.84 and 473.36

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Solution

The fourth proportional to 1,089.77, 1,633.84 and 473.36 is: 709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.77 : 1,633.84 = 473.36 : x
  2. Step 2: Convert to fraction form
    1,089.77/1,633.84 = 473.36/x
  3. Step 3: Cross multiply
    1,089.77x = 1,633.84 × 473.36
  4. Step 4: Simplify right side
    1,089.77x = 773,385.15
  5. Step 5: Solve for x
    x = 773,385.15/1,089.77
  6. Step 6: Final answer
    x = 709.68

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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.