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Finding the Fourth Proportional to 1,329.25, 1,994.20 and 417.25

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Solution

The fourth proportional to 1,329.25, 1,994.20 and 417.25 is: 625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.25 : 1,994.20 = 417.25 : x
  2. Step 2: Convert to fraction form
    1,329.25/1,994.20 = 417.25/x
  3. Step 3: Cross multiply
    1,329.25x = 1,994.20 × 417.25
  4. Step 4: Simplify right side
    1,329.25x = 832,077.86
  5. Step 5: Solve for x
    x = 832,077.86/1,329.25
  6. Step 6: Final answer
    x = 625.98

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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.