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Finding the Fourth Proportional to 1,052, 1,577.94 and 321.56

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Solution

The fourth proportional to 1,052, 1,577.94 and 321.56 is: 482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052 : 1,577.94 = 321.56 : x
  2. Step 2: Convert to fraction form
    1,052/1,577.94 = 321.56/x
  3. Step 3: Cross multiply
    1,052x = 1,577.94 × 321.56
  4. Step 4: Simplify right side
    1,052x = 507,402.39
  5. Step 5: Solve for x
    x = 507,402.39/1,052
  6. Step 6: Final answer
    x = 482.32

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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.