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Finding the Fourth Proportional to 1,387.94, 1,915.40 and 828.84

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Solution

The fourth proportional to 1,387.94, 1,915.40 and 828.84 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.94 : 1,915.40 = 828.84 : x
  2. Step 2: Convert to fraction form
    1,387.94/1,915.40 = 828.84/x
  3. Step 3: Cross multiply
    1,387.94x = 1,915.40 × 828.84
  4. Step 4: Simplify right side
    1,387.94x = 1,587,562.21
  5. Step 5: Solve for x
    x = 1,587,562.21/1,387.94
  6. Step 6: Final answer
    x = 1,143.82

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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.