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Finding the Fourth Proportional to 1,199.65, 1,799.32 and 322.22

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Solution

The fourth proportional to 1,199.65, 1,799.32 and 322.22 is: 483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.65 : 1,799.32 = 322.22 : x
  2. Step 2: Convert to fraction form
    1,199.65/1,799.32 = 322.22/x
  3. Step 3: Cross multiply
    1,199.65x = 1,799.32 × 322.22
  4. Step 4: Simplify right side
    1,199.65x = 579,775.04
  5. Step 5: Solve for x
    x = 579,775.04/1,199.65
  6. Step 6: Final answer
    x = 483.29

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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.