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Finding the Fourth Proportional to 1,051.89, 1,578.15 and 321.45

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Solution

The fourth proportional to 1,051.89, 1,578.15 and 321.45 is: 482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.89 : 1,578.15 = 321.45 : x
  2. Step 2: Convert to fraction form
    1,051.89/1,578.15 = 321.45/x
  3. Step 3: Cross multiply
    1,051.89x = 1,578.15 × 321.45
  4. Step 4: Simplify right side
    1,051.89x = 507,296.32
  5. Step 5: Solve for x
    x = 507,296.32/1,051.89
  6. Step 6: Final answer
    x = 482.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.