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Finding the Fourth Proportional to 1,089.81, 1,634.51 and 320.13

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Solution

The fourth proportional to 1,089.81, 1,634.51 and 320.13 is: 480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.81 : 1,634.51 = 320.13 : x
  2. Step 2: Convert to fraction form
    1,089.81/1,634.51 = 320.13/x
  3. Step 3: Cross multiply
    1,089.81x = 1,634.51 × 320.13
  4. Step 4: Simplify right side
    1,089.81x = 523,247.51
  5. Step 5: Solve for x
    x = 523,247.51/1,089.81
  6. Step 6: Final answer
    x = 480.13

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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.