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Finding the Fourth Proportional to 1,294.66, 1,788.24 and 1,059.22

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Solution

The fourth proportional to 1,294.66, 1,788.24 and 1,059.22 is: 1,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.66 : 1,788.24 = 1,059.22 : x
  2. Step 2: Convert to fraction form
    1,294.66/1,788.24 = 1,059.22/x
  3. Step 3: Cross multiply
    1,294.66x = 1,788.24 × 1,059.22
  4. Step 4: Simplify right side
    1,294.66x = 1,894,139.57
  5. Step 5: Solve for x
    x = 1,894,139.57/1,294.66
  6. Step 6: Final answer
    x = 1,463.04

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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.