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Finding the Fourth Proportional to 1,329.52, 1,994.64 and 405.11

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Solution

The fourth proportional to 1,329.52, 1,994.64 and 405.11 is: 607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.52 : 1,994.64 = 405.11 : x
  2. Step 2: Convert to fraction form
    1,329.52/1,994.64 = 405.11/x
  3. Step 3: Cross multiply
    1,329.52x = 1,994.64 × 405.11
  4. Step 4: Simplify right side
    1,329.52x = 808,038.64
  5. Step 5: Solve for x
    x = 808,038.64/1,329.52
  6. Step 6: Final answer
    x = 607.77

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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.