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Finding the Fourth Proportional to 1,592.03, 2,388.60 and 714.44

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Solution

The fourth proportional to 1,592.03, 2,388.60 and 714.44 is: 1,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.03 : 2,388.60 = 714.44 : x
  2. Step 2: Convert to fraction form
    1,592.03/2,388.60 = 714.44/x
  3. Step 3: Cross multiply
    1,592.03x = 2,388.60 × 714.44
  4. Step 4: Simplify right side
    1,592.03x = 1,706,517.36
  5. Step 5: Solve for x
    x = 1,706,517.36/1,592.03
  6. Step 6: Final answer
    x = 1,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.