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Finding the Fourth Proportional to 1,038.94, 1,433.89 and 684.80

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Solution

The fourth proportional to 1,038.94, 1,433.89 and 684.80 is: 945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.94 : 1,433.89 = 684.80 : x
  2. Step 2: Convert to fraction form
    1,038.94/1,433.89 = 684.80/x
  3. Step 3: Cross multiply
    1,038.94x = 1,433.89 × 684.80
  4. Step 4: Simplify right side
    1,038.94x = 981,929.74
  5. Step 5: Solve for x
    x = 981,929.74/1,038.94
  6. Step 6: Final answer
    x = 945.13

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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.