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Finding the Fourth Proportional to 1,089.32, 1,633.44 and 533.66

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Solution

The fourth proportional to 1,089.32, 1,633.44 and 533.66 is: 800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,633.44 = 533.66 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,633.44 = 533.66/x
  3. Step 3: Cross multiply
    1,089.32x = 1,633.44 × 533.66
  4. Step 4: Simplify right side
    1,089.32x = 871,701.59
  5. Step 5: Solve for x
    x = 871,701.59/1,089.32
  6. Step 6: Final answer
    x = 800.23

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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.