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Finding the Fourth Proportional to 1,642.53, 2,463.16 and 705.39

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Solution

The fourth proportional to 1,642.53, 2,463.16 and 705.39 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.53 : 2,463.16 = 705.39 : x
  2. Step 2: Convert to fraction form
    1,642.53/2,463.16 = 705.39/x
  3. Step 3: Cross multiply
    1,642.53x = 2,463.16 × 705.39
  4. Step 4: Simplify right side
    1,642.53x = 1,737,488.43
  5. Step 5: Solve for x
    x = 1,737,488.43/1,642.53
  6. Step 6: Final answer
    x = 1,057.81

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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.