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Finding the Fourth Proportional to 1,052.52, 1,578.70 and 322.03

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Solution

The fourth proportional to 1,052.52, 1,578.70 and 322.03 is: 483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.52 : 1,578.70 = 322.03 : x
  2. Step 2: Convert to fraction form
    1,052.52/1,578.70 = 322.03/x
  3. Step 3: Cross multiply
    1,052.52x = 1,578.70 × 322.03
  4. Step 4: Simplify right side
    1,052.52x = 508,388.76
  5. Step 5: Solve for x
    x = 508,388.76/1,052.52
  6. Step 6: Final answer
    x = 483.02

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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.