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Finding the Fourth Proportional to 1,051.69, 1,577.64 and 321.13

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Solution

The fourth proportional to 1,051.69, 1,577.64 and 321.13 is: 481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.69 : 1,577.64 = 321.13 : x
  2. Step 2: Convert to fraction form
    1,051.69/1,577.64 = 321.13/x
  3. Step 3: Cross multiply
    1,051.69x = 1,577.64 × 321.13
  4. Step 4: Simplify right side
    1,051.69x = 506,627.53
  5. Step 5: Solve for x
    x = 506,627.53/1,051.69
  6. Step 6: Final answer
    x = 481.73

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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.