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Finding the Fourth Proportional to 1,329.42, 1,994.14 and 463.74

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Solution

The fourth proportional to 1,329.42, 1,994.14 and 463.74 is: 695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.42 : 1,994.14 = 463.74 : x
  2. Step 2: Convert to fraction form
    1,329.42/1,994.14 = 463.74/x
  3. Step 3: Cross multiply
    1,329.42x = 1,994.14 × 463.74
  4. Step 4: Simplify right side
    1,329.42x = 924,755.59
  5. Step 5: Solve for x
    x = 924,755.59/1,329.42
  6. Step 6: Final answer
    x = 695.61

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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.