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Finding the Fourth Proportional to 1,052.81, 1,579.22 and 322.38

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Solution

The fourth proportional to 1,052.81, 1,579.22 and 322.38 is: 483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.81 : 1,579.22 = 322.38 : x
  2. Step 2: Convert to fraction form
    1,052.81/1,579.22 = 322.38/x
  3. Step 3: Cross multiply
    1,052.81x = 1,579.22 × 322.38
  4. Step 4: Simplify right side
    1,052.81x = 509,114.46
  5. Step 5: Solve for x
    x = 509,114.46/1,052.81
  6. Step 6: Final answer
    x = 483.58

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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.