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Finding the Fourth Proportional to 1,463.66, 2,195.65 and 476.44

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Solution

The fourth proportional to 1,463.66, 2,195.65 and 476.44 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.66 : 2,195.65 = 476.44 : x
  2. Step 2: Convert to fraction form
    1,463.66/2,195.65 = 476.44/x
  3. Step 3: Cross multiply
    1,463.66x = 2,195.65 × 476.44
  4. Step 4: Simplify right side
    1,463.66x = 1,046,087.91
  5. Step 5: Solve for x
    x = 1,046,087.91/1,463.66
  6. Step 6: Final answer
    x = 714.70

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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.