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Finding the Fourth Proportional to 1,341.83, 2,012.87 and 464.21

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Solution

The fourth proportional to 1,341.83, 2,012.87 and 464.21 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.83 : 2,012.87 = 464.21 : x
  2. Step 2: Convert to fraction form
    1,341.83/2,012.87 = 464.21/x
  3. Step 3: Cross multiply
    1,341.83x = 2,012.87 × 464.21
  4. Step 4: Simplify right side
    1,341.83x = 934,400.58
  5. Step 5: Solve for x
    x = 934,400.58/1,341.83
  6. Step 6: Final answer
    x = 696.37

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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.