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Finding the Fourth Proportional to 1,051.94, 1,578.42 and 403.12

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Solution

The fourth proportional to 1,051.94, 1,578.42 and 403.12 is: 604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.94 : 1,578.42 = 403.12 : x
  2. Step 2: Convert to fraction form
    1,051.94/1,578.42 = 403.12/x
  3. Step 3: Cross multiply
    1,051.94x = 1,578.42 × 403.12
  4. Step 4: Simplify right side
    1,051.94x = 636,292.67
  5. Step 5: Solve for x
    x = 636,292.67/1,051.94
  6. Step 6: Final answer
    x = 604.88

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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.