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Finding the Fourth Proportional to 1,052.35, 1,578.53 and 321.93

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Solution

The fourth proportional to 1,052.35, 1,578.53 and 321.93 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.35 : 1,578.53 = 321.93 : x
  2. Step 2: Convert to fraction form
    1,052.35/1,578.53 = 321.93/x
  3. Step 3: Cross multiply
    1,052.35x = 1,578.53 × 321.93
  4. Step 4: Simplify right side
    1,052.35x = 508,176.97
  5. Step 5: Solve for x
    x = 508,176.97/1,052.35
  6. Step 6: Final answer
    x = 482.90

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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.