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Finding the Fourth Proportional to 1,638.20, 2,455.44 and 714.20

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Solution

The fourth proportional to 1,638.20, 2,455.44 and 714.20 is: 1,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.20 : 2,455.44 = 714.20 : x
  2. Step 2: Convert to fraction form
    1,638.20/2,455.44 = 714.20/x
  3. Step 3: Cross multiply
    1,638.20x = 2,455.44 × 714.20
  4. Step 4: Simplify right side
    1,638.20x = 1,753,675.25
  5. Step 5: Solve for x
    x = 1,753,675.25/1,638.20
  6. Step 6: Final answer
    x = 1,070.49

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1.5x scale

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.