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Finding the Fourth Proportional to 1,388.43, 1,915.65 and 821.16

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Solution

The fourth proportional to 1,388.43, 1,915.65 and 821.16 is: 1,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.43 : 1,915.65 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,388.43/1,915.65 = 821.16/x
  3. Step 3: Cross multiply
    1,388.43x = 1,915.65 × 821.16
  4. Step 4: Simplify right side
    1,388.43x = 1,573,055.15
  5. Step 5: Solve for x
    x = 1,573,055.15/1,388.43
  6. Step 6: Final answer
    x = 1,132.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.