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Finding the Fourth Proportional to 1,113.67, 1,669.51 and 419.80

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Solution

The fourth proportional to 1,113.67, 1,669.51 and 419.80 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.67 : 1,669.51 = 419.80 : x
  2. Step 2: Convert to fraction form
    1,113.67/1,669.51 = 419.80/x
  3. Step 3: Cross multiply
    1,113.67x = 1,669.51 × 419.80
  4. Step 4: Simplify right side
    1,113.67x = 700,860.30
  5. Step 5: Solve for x
    x = 700,860.30/1,113.67
  6. Step 6: Final answer
    x = 629.32

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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.