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Finding the Fourth Proportional to 1,252.44, 1,725.84 and 1,032.93

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Solution

The fourth proportional to 1,252.44, 1,725.84 and 1,032.93 is: 1,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.44 : 1,725.84 = 1,032.93 : x
  2. Step 2: Convert to fraction form
    1,252.44/1,725.84 = 1,032.93/x
  3. Step 3: Cross multiply
    1,252.44x = 1,725.84 × 1,032.93
  4. Step 4: Simplify right side
    1,252.44x = 1,782,671.91
  5. Step 5: Solve for x
    x = 1,782,671.91/1,252.44
  6. Step 6: Final answer
    x = 1,423.36

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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.