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Finding the Fourth Proportional to 1,329.81, 1,994.71 and 405.34

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Solution

The fourth proportional to 1,329.81, 1,994.71 and 405.34 is: 608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.81 : 1,994.71 = 405.34 : x
  2. Step 2: Convert to fraction form
    1,329.81/1,994.71 = 405.34/x
  3. Step 3: Cross multiply
    1,329.81x = 1,994.71 × 405.34
  4. Step 4: Simplify right side
    1,329.81x = 808,537.23
  5. Step 5: Solve for x
    x = 808,537.23/1,329.81
  6. Step 6: Final answer
    x = 608.01

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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.