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Finding the Fourth Proportional to 1,463.96, 2,195.88 and 368.33

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Solution

The fourth proportional to 1,463.96, 2,195.88 and 368.33 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.96 : 2,195.88 = 368.33 : x
  2. Step 2: Convert to fraction form
    1,463.96/2,195.88 = 368.33/x
  3. Step 3: Cross multiply
    1,463.96x = 2,195.88 × 368.33
  4. Step 4: Simplify right side
    1,463.96x = 808,797.50
  5. Step 5: Solve for x
    x = 808,797.50/1,463.96
  6. Step 6: Final answer
    x = 552.47

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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.