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Finding the Fourth Proportional to 1,329.40, 1,994.24 and 463.72

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Solution

The fourth proportional to 1,329.40, 1,994.24 and 463.72 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.40 : 1,994.24 = 463.72 : x
  2. Step 2: Convert to fraction form
    1,329.40/1,994.24 = 463.72/x
  3. Step 3: Cross multiply
    1,329.40x = 1,994.24 × 463.72
  4. Step 4: Simplify right side
    1,329.40x = 924,768.97
  5. Step 5: Solve for x
    x = 924,768.97/1,329.40
  6. Step 6: Final answer
    x = 695.63

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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.