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Finding the Fourth Proportional to 1,294.96, 1,788.06 and 1,045.48

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Solution

The fourth proportional to 1,294.96, 1,788.06 and 1,045.48 is: 1,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.96 : 1,788.06 = 1,045.48 : x
  2. Step 2: Convert to fraction form
    1,294.96/1,788.06 = 1,045.48/x
  3. Step 3: Cross multiply
    1,294.96x = 1,788.06 × 1,045.48
  4. Step 4: Simplify right side
    1,294.96x = 1,869,380.97
  5. Step 5: Solve for x
    x = 1,869,380.97/1,294.96
  6. Step 6: Final answer
    x = 1,443.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.