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Finding the Fourth Proportional to 1,293.81, 1,784.49 and 821.29

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Solution

The fourth proportional to 1,293.81, 1,784.49 and 821.29 is: 1,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.81 : 1,784.49 = 821.29 : x
  2. Step 2: Convert to fraction form
    1,293.81/1,784.49 = 821.29/x
  3. Step 3: Cross multiply
    1,293.81x = 1,784.49 × 821.29
  4. Step 4: Simplify right side
    1,293.81x = 1,465,590.91
  5. Step 5: Solve for x
    x = 1,465,590.91/1,293.81
  6. Step 6: Final answer
    x = 1,132.77

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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.